applications of second order differential equations
báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... ordinary differential equations, ” in Handbook of Differential Equations: Ordinary a Differential Equations, A Canada, P Dr´ bek, and A Fonda, Eds., vol of Handbook of Differential ˇ Equations, pp 607–722, ... Journal of Mathematical Analysis and Applications, vol 212, no 2, pp 443–451, 1997 13 E Weinmuller, “On the boundary value problem for systems of ordinary second- order differential ¨ equations ... values of the first derivative at the end points of u the interval of integration, t and t According to the theory, it holds that u 0 Therefore, we approximate the values of the first derivative of...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... existence of a homoclinic solution for f having a linear behaviour near −∞ The proof is based on a full description of the set of all solutions of problem 1.1 , 1.10 for B < and on the existence of ... solution of problem 2.13 , 1.10 Therefore, we can borrow the arguments of 12 in the proofs of this section Theorem 3.3 If u is a damped solution of problem 1.1 , 1.10 , then u has a finite number of ... Value Problems 15 Proof Similar arugmets can be found in 12 By Lemma 2.1, the assertion i holds The arguments in Step of the proof of Lemma 4.6 imply ii The strict monotonicity of un and Remark...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... inequalities for a class of even -order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China College of Mathematics ... criterion of Lyapunov Am J Math 73, 885–890 (1951) [3] Cheng, SS: Lyapunov inequalities for differential and difference equations Fasc Math 23, 25–41 (1991) [4] He, Z: Existence of two solutions of m-point ... type inequalities for second- order half-linear differential equations J Math Anal Appl 382, 792–801 (2011) 10 [12] Yang, X, Kim, Y, Lo, K: Lyapunov-type inequalities for a class of quasilinear systems...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
Ngày tải lên :
21/06/2014, 11:20
... Proceedings of the American Mathematical Society, vol 41, pp 110–116, 1973 ˇ a S Matucci and P Reh´ k, “Regularly varying sequences and second order difference equations, ” Journal of Difference Equations ... existence of a solution y ∈ NRV look for a solution of 1.1 in the form yk k−1 ψj j 1 j a of 1.1 Set ψk wj k ∞ j k pj − A We , 3.8 k ≥ a, with some a ∈ N In order that y is a nonoscillatory solution of ... space of sequences converging towards zero The following properties of h will play a crucial role in the proof The first two are immediate consequences of the discrete L’Hospital rule and of the...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 20:20
... in Difference Equations Y Wang and Y Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodic boundary conditions,” Journal of Mathematical Analysis and Applications, ... Problems, vol of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1964 Y Shi and S Chen, “Spectral theory of second- order vector difference equations, ” Journal of Mathematical ... which proves the first conclusion ¨ The second conclusion can be shown similarly Hence, the proof is complete Finally, we turn to the proof of Theorem 3.1 Proof of Theorem 3.1 By Propositions 3.3–3.8,...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
Ngày tải lên :
21/06/2014, 20:20
... differential equations of second order, ” Annals of Mathematics, vol 65, pp 197–202, 1957 R Zhuang, “Sturm comparison theorem of solution for second order nonlinear differential equations, ” Annals of Differential ... comparison theorem of second- order differential equations see Section Remark 3.6 In the discrete case: μ t ≡ This result is the same as Sturm comparison theorem of second- order difference equations see ... differential equations of second order, ” Proceedings of the American Mathematical Society, vol 13, pp 603–610, 1962 W Leighton, “Some elementary Sturm theory,” Journal of Differential Equations, ...
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Báo cáo hóa học: " PERIODIC SOLUTIONS OF SECOND-ORDER LIÉNARD EQUATIONS WITH p-LAPLACIAN-LIKE OPERATORS" pot
Ngày tải lên :
22/06/2014, 22:20
... solutions of forced nonlinear second order ordinary differential equations, Bulletin of the London Mathematical Society 18 (1986), no 2, 173–180 [7] J.-P Gossez and P Omari, Periodic solutions of a second ... nard equations e Motivated by the work of [13], in this paper we use new polar coordinates [13] to investigate the existence of periodic solutions for the second- order generalized Li´ nard e equations ... existence of a unique nontrivial periodic solution to a class of equations of Li´nard’s type, Journal of Differential Equae tions 46 (1982), no 3, 356–378 [12] P N Savel’ev, Dissipativity of the...
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Báo cáo hóa học: "SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS" pptx
Ngày tải lên :
22/06/2014, 22:20
... 2, 201–214 , Solvability of three point boundary value problems for second order differential equations [4] with deviating arguments, Journal of Mathematical Analysis and Applications 312 (2005), ... problem for the second- order impulsive functional differential equations, Computers & Mathematics with Applications 50 (2005), no 34, 491–507 [2] T Jankowski, Advanced differential equations with ... 2 Second- order differential equations The plan of this paper is as follows In Section 3, we discuss problem (1.1) for the case when r ≤ Theorem 3.1 says about extremal quasisolutions of problem...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
Ngày tải lên :
21/06/2014, 20:20
... “On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument”,” Journal of Mathematical Analysis and Applications, vol ... Difference Equations 12 R Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ... differential equations and almost periodic flows,” Journal of Differential Equations, vol 5, no 1, pp 167–181, 1969 18 R Yuan, “Pseudo-almost periodic solutions of second- order neutral delay differential equations...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... estimates of the gradients of solutions of quasilinear elliptic equations of the form (1) and their application to the proof of certain qualitative properties of solutions of these equations ... to the study of questions of solvability of main boundary value problems for degenerate and nonuniformly elliptic and parabolic equations of second order and to the investigation of differential ... degenerate equations We then establish local estimates of the gradients of solutions of equations of the form (1) by combining the use of certain methods characteristic of the technique of global...
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Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
Ngày tải lên :
20/06/2014, 22:20
... nonlocal boundary value problem for second- order nonlinear singular differential equations Georgian Math J 7(1), 133–154 (2000) Feng, W, Webb, JRL: Solvability of m-point boundary value problems ... Shu: Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second- order dynamic equations on time scales at resonance Advances in Difference Equations 2011 2011:42 ... algebraic properties of the Riemann-Stieltjes integral Li and Shu Advances in Difference Equations 2011, 2011:42 http://www.advancesindifferenceequations.com/content/2011/1/42 Page of 18 on time scales...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 Page of 11 as an important area of investigation For the general theory and applications of integer order ... Solvability of three point boundary value problems for second order differential equations with deviating arguments J Math Anal Appl 2005, 312:620-636 Ma R: Multiplicity of positive solutions for second- order ... fractional integrodifferential equations in Banach spaces Nonlinear Anal 2010, 72:4587-4593 Goodrich ChS: Existence of a positive solution to a class of fractional differential equations Appl Math...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
Ngày tải lên :
21/06/2014, 11:20
... completed the estimate of the error bounds for asymptotic solutions to second order linear difference equations in the first case For the second case, we leave it to the second part of this paper: Error ... of Second- order Linear Difference Equation II: the second case In the rest of this paper, we would like to give an example to show how to use the results of this paper to obtain error bounds of ... problem of obtaining error bounds for these asymptotic solutions to 1.2 is still open The purpose of this and the next paper Error bounds for asymptotic solutions of second- order linear difference equations...
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báo cáo hóa học:" Research Article Exponential Stability of Two Coupled Second-Order Evolution Equations" pptx
Ngày tải lên :
21/06/2014, 11:20
... the proofs of the above lemmas, using Young’s inequality and noting that T S we prove the conclusion t k s ds u t S0 dt k s ds T S u t dt, 2.33 Advances in Difference Equations 11 Proof of Theorem ... Advances in Difference Equations where δ3 μ, and for ε2 > T β ε2 v t , w t dt S T S v t β2 2aε2 dt T S u t 2.27 dt The other items on the right of 2.25 can be dealt with as in the proof of Lemma 2.2 Hence, ... Doctoral Program of Higher Education of China 2007035805 References T.-J Xiao and J Liang, The Cauchy Problem for Higher -Order Abstract Differential Equations, vol 1701 of Lecture Notes in Mathematics,...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
Ngày tải lên :
21/06/2014, 11:20
... N, we denote by xt an element of Cτ defined by xt k x t k , k ∈ −τ, Boundary Value Problems In this paper, we consider the following second- order four-point BVP of a nonlinear functional difference ... ≤ s ≤ T ⎪ ⎪ ⎪ ⎩ 2.15 Proof Consider the second- order two-point BVP −Δ2 u t − f t, u u T t ∈ 1, T , 2.16 0, Boundary Value Problems It is easy to find that the solution of BVP 2.16 is given by ... ) holds Then the second- order four-point BVP 2.13 has a unique solution which is given in 2.29 Proof We need only to show the uniqueness Obviously, w t in 2.29 is a solution of BVP 2.13 Assume...
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báo cáo hóa học:" Research Article Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations" pdf
Ngày tải lên :
21/06/2014, 18:20
... nonoscillation of forced second order dynamic equations, ” Pacific Journal of Mathematics, vol 230, no 1, pp 59–71, 2007 12 M Bohner and S H Saker, “Oscillation of second order nonlinear dynamic equations on ... criteria for second- order forced dynamic equations with mixed nonlinearities,” Advances in Difference Equations, vol 2009, Article ID 938706, 20 pages, 2009 D R Anderson, “Oscillation of second- order ... functional dynamic equations with delay and advanced arguments,” to appear in Journal of Difference Equations and Applications 10 A F Guvenilir and A Zafer, Second- order oscillation of forced functional...
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Báo cáo hóa học: " Research Article Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations Sukanya Basu and Orlando Meri" docx
Ngày tải lên :
21/06/2014, 20:20
... Dynamics of Second Order Rational Difference Equations, Chapman & c Hall/CRC, Boca Raton, Fla, USA, 2002 G Ladas, “Invariants for generalized Lyness equations, ” Journal of Difference Equations and Applications, ... Ladas, “On second- order rational difference equation—I,” Journal of Difference Equations and Applications, vol 13, no 11, pp 969–1004, 2007 A M Amleh, E Camouzis, and G Ladas, “On second- order rational ... 2008 15 V L Koci´ and G Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with c Applications, vol 256 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht,...
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Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx
Ngày tải lên :
22/06/2014, 02:20
... behaviour of solutions of nonhomogeneous third order differential equations, ” Applicable Analysis, vol 12, no 4, pp 273–285, 1981 N Parhi, “Nonoscillation of solutions of a class of third order differential ... nonoscillation of all solutions of nonlinear functional differential equations In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions of the second- order forced ... functionaldifferential equations of third order, ” Bulletin of the Calcutta Mathematical Society, vol 86, no 3, pp 253–266, 1994 15 N Parhi and P Das, “On nonoscillation of third order differential equations, ”...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type" potx
Ngày tải lên :
22/06/2014, 18:20
... evolution equations, ” Nonlinear Analysis, vol 6, no 11, pp 1245–1252, 1982 [5] E Mitidieri, “Some remarks on the asymptotic behaviour of the solutions of second order evolution equations, ” Journal of ... behaviour of solutions of differential equations associated to mono¸ tone operators,” Nonlinear Analysis, vol 3, no 6, pp 873–883, 1979 [4] E Mitidieri, “Asymptotic behaviour of some second order ... du second ordre associ´ es a des op´ rateurs maximaux monoe e e ` e tones,” Proceedings of the Royal Society of Edinburgh Section A, vol 75, no 2, pp 131–147, 1975/1976 [10] N C Apreutesei, Second- order...
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Báo cáo hóa học: " Research Article Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance Ruyun Ma" ppt
Ngày tải lên :
22/06/2014, 19:20
... & Applications, vol 39, no 2, pp 207–215, 2000 [7] D Bai and Y Xu, “Nontrivial solutions of boundary value problems of second- order difference equations, ” Journal of Mathematical Analysis and Applications, ... zero of ψ2 in [a + 1,b + 1] Then (1.6) has a solution provided b+1 h(t)ψ1 (t) = (1.11) t =a+1 The analogue of Theorem 1.4 was obtained for two-point BVPs of second- order ordinary differential equations ... ΛΓ (u) ≤ (2.26) By the first part of the proof, u = 0, so that, by (2.24), b+1 [Δun (t)]2 → 0, a contradiction t =a with the second equality in (2.21), and the proof is complete Lemma 2.3 Let Γ...
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