boundary value problems for partial differential equations
Báo cáo hóa học: " Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order" ppt
Ngày tải lên :
21/06/2014, 07:20
... boundary value problems for nonlinear impulsive fractional differential equations is still in the initial stages Ahmad and Sivasundaram 15, 16 studied the following impulsive hybrid boundary value ... problem for a nonlinear fractional differential equation,” Electronic Journal of Qualitative Theory of Differential Equations, no 3, p 11, 2008 S Zhang, “Positive solutions for boundary- value problems ... 2010 M Benchohra, J R Graef, and S Hamani, “Existence results for boundary value problems with nonlinear fractional differential equations, ” Applicable Analysis, vol 87, no 7, pp 851–863, 2008...
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Báo cáo sinh học: " Research Article Boundary Value Problems for Delay Differential Systems" ppt
Ngày tải lên :
21/06/2014, 16:20
... Fredholm boundary value problem for system 3.1 3.8 Advances in Difference Equations 3.1 Fredholm Boundary Value Problem Using the results in 8, , it is easy to derive statements for a general boundary ... next step from the solvability condition of the boundary value problem for z1 t Advances in Difference Equations 15 For ε1 , we get the boundary value problem k z1 t ˙ A Sh0 z1 t B t Sh z0 t Bi ... Fredholm Boundary- Value Problems, VSP, Utrecht, The Netherlands, 2004 10 A A Boichuk, J Dibl´k, D Ya Khusainov, and M Ruˇ iˇ kov´ , “Fredholm’s boundary- value problems ı a ˚z c for differential...
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Báo cáo hóa học: "BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENCE EQUATIONS ON INFINITE INTERVALS" docx
Ngày tải lên :
22/06/2014, 22:20
... of boundary value problems, such as the ones associated to advanced, or delayed difference equations, or sum difference equations Several approaches can be used in order to treat boundary value problems ... space has to be chosen for solving boundary value problems related to existence of unbounded solutions Remark 2.4 If B is closed, as it often happens for boundary value problems on finite discrete ... BVPs for functional difference equations [9] J R Graef and J Henderson, Double solutions of boundary value problems for 2mth-order differential equations and difference equations, Computers & Mathematics...
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Báo cáo hóa học: " Research Article Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations" potx
Ngày tải lên :
22/06/2014, 03:20
... even in the case when h t ≤ g t for t ∈ 0, ∞ Maximum Boundaries Principles in Existence and Uniqueness of Boundary Value Problems Consider the boundary value problems of the following type Mx ... 1.8 be positive for ≤ s ≤ t ≤ ω, then the Cauchy function C t, s of 1.1 is also positive for ≤ s ≤ t ≤ ω This result was extent on various boundary value problems in 16 in the form: Let the operator ... of solutions of various boundary value problems for first order functional differential equations were obtained All results presented in the paper 15 and in the book 16 for equation with the difference...
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TWO-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH STRONG pdf
Ngày tải lên :
23/06/2014, 00:20
... multi-point boundary value problem, Annali di Matematica Pura ed Ap[4] plicata Series IV 86 (1970), 367–399 [5] I Kiguradze, Some singular boundary value problems for ordinary differential equations, ... singular boundary value problems for functional differential equations of higher order, Georgian Mathematical Journal (2001), no 4, 791–814 [11] I T Kiguradze and B L Shekhter, Singular boundary value ... optimal conditions for the solvability of two-point singular boundary value problems, [6] Functional Differential Equations 10 (2003), no 1-2, 259–281, Functional differential equations and applications...
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báo cáo hóa học:" Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales" pot
Ngày tải lên :
21/06/2014, 17:20
... time, the boundary value problems for impulsive differential equations and impulsive difference equations have received much attention [4–18] On the other hand, recently, the theory of dynamic equations ... result for impulsive dynamic equations on time scales Appl Math Lett 20, 206–212 (2007) [27] Geng, F, Xu, Y, Zhu, D: Periodic boundary value problems for first-order impulsive dynamic equations ... dynamic equations on time scales J Math Anal Appl 324, 425–434 (2006) 18 [25] Chen, HB, Wang, HH: Triple positive solutions of boundary value problems for pLaplacian impulsive dynamic equations...
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Báo cáo hoa học: " Research Article Impulsive Periodic Boundary Value Problems for Dynamic Equations on Time Scale" pptx
Ngày tải lên :
21/06/2014, 20:20
... boundary value problems of impulsive differential equations, ” Applicable Analysis, vol 44, no 3-4, pp 145–158, 1992 19 D.-B Wang, “Positive solutions for nonlinear first-order periodic boundary value problems ... impulsive dynamic equations on time scales,” Journal of Difference Equations and Applications, vol 10, no 6, pp 541–548, 2004 F Geng, Y Xu, and D Zhu, “Periodic boundary value problems for first-order ... differential equations, ” Journal of Mathematical Analysis and Applications, vol 325, no 1, pp 226–236, 2007 13 X Liu, “Nonlinear boundary value problems for first order impulsive integro-differential equations, ”...
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Báo cáo hóa học: "Research Article Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems" pptx
Ngày tải lên :
21/06/2014, 20:20
... Therefore we have u t p − λ Σi Ii ui ti T t Gu s f s ds λ G us f s ds 3.11 for t ∈ 0, t1 , and u t p − λ Σi Ii ui ti T Gu s t λ G us f s ds f s ds λ Σk Ii ui ti i 3.12 Boundary Value Problems for ... has a solution For the uniqueness, if u · , v · are two solutions of E 2.2 , set w t Aw t , and w t −w t T , for t ∈ R Following the obvious u t − v t , then w t Boundary Value Problems gives ... conditions on G, f, and function, Δu tk k Ik u for k 1, 2, , p, we prove an existence result for E 1.2 Antiperiodic Problem for Differential Equations in Rn Let | · | be the norm in Rn In...
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Báo cáo hóa học: " Research Article Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian Difference Equations" docx
Ngày tải lên :
22/06/2014, 19:20
... 19, no 10, pp 1019–1023, 2006 Y Liu and W Ge, “Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator,” Journal of Mathematical Analysis and ... difference equations, ” Science in China Series A, vol 33, no 3, pp 226–235, 2003 L Jiang and Z Zhou, “Existence of nontrivial solutions for discrete nonlinear two point boundary value problems, ” ... Δx k − z k k for any x, z ∈ H Noticing the fact that x J x z for any x, z ∈ H lim t→0 J x x T tz − J x t for any x ∈ H again, we obtain T f k, x k z k k 2.7 Advances in Difference Equations Remark...
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BOUNDARY VALUE PROBLEMS FOR THE 2ND-ORDER SEIBERG-WITTEN EQUATIONS CELSO MELCHIADES DORIA Received 8 pdf
Ngày tải lên :
23/06/2014, 00:20
... ᐃα -functional is the coercivity lemma proved in [3] 78 Boundary value problems for the ᐃα -equations (A,φ) Lemma 2.5 (coercivity) For each (A,φ) ∈ Ꮿα , there exist g ∈ Ᏻα and a constant KC ... = (3.42) 86 Boundary value problems for the ᐃα -equations Regularity of the solution (A,φ) Let β = {ei ; ≤ i ≤ 4} be an orthonormal frame fixed on TX with the following properties; for all i, ... argument Appendix Estimates for solutions of 3rd-degree equation Let p, q ∈ R and consider the equation x3 + px + q = (A.1) 90 Boundary value problems for the ᐃα -equations Proposition A.1 The...
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hilbert space methods for partial differential equations - r. showalter
Ngày tải lên :
31/03/2014, 15:56
... types of problems are well-posed These include boundary value problems for (stationary) elliptic partial di erential equations and initial -boundary value problems for (time-dependent) equations ... its applications to solve initial -boundary value problems for partial di erential equations Chapters V and VI provide the immediate extensions to cover evolution equations of second order and of ... treatment of certain elliptic boundary value problems by the classical Dirichlet principle Then we brie y discuss certain unilateral boundary value problems, optimal control problems, and numerical...
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báo cáo hóa học:" Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales" doc
Ngày tải lên :
21/06/2014, 17:20
... development of boundary value problems for differential equations [1–5], dif- ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value problems on ... results for some second-order four-point boundary- value problems Nonlinear Anal 60, 491–500 (2004) [4] Yang, L, Liu, X, Jia, M: Multiplicity results for second-order m-point boundary value problem ... Positive solutions for a nonlinear three-point boundary value problem Electron J Diff Equ 34, 1–8 (1999) [2] Ma, R, Cataneda, N: Existence of solution for nonlinear m-point boundary value problem J...
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báo cáo hóa học:" Positive solutions for boundary value problem for fractional differential equation with $p$-Laplacian operator" doc
Ngày tải lên :
21/06/2014, 17:20
... initial value problems for nonlinear fractional differential equations Appl Math Lett 23, 676–680 (2010) [15] Zhao, Y, Sun, S, Han, Z, Zhang, M: Positive solutions for boundary value problems ... Dirichlet problems of singular nonlinear fractional differential equations J Math Anal Appl 371, 57–68 (2010) [11] Kosmatov, N: Integral equations and initial value problems for nonlinear differential equations ... (1.1)) with b = It is a well-known fact that the boundary value problems with Sturm–Liouville boundary value conditions for integral order differential equations have important physical and applied...
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báo cáo hóa học:" Research Article Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear " doc
Ngày tải lên :
21/06/2014, 20:20
... q t A p, q t , for t ∈ J It is clear that p i t ≥ x0 > θ, q i t ≥ y0 > θ for any Boundary Value Problems 19 i i t ∈ J i 0, So, by Lemma 2.6, we have p i t ≥ u0 t , q i t ≥ v0 t for any t ∈ J ... αi ξi , D1 m−2 1− m−2 i βi i βi ξi 2.6 Boundary Value Problems Let us list some conditions for convenience H1 f, g ∈ C J × P0λ × P0λ × P1λ × P1λ , P for any λ > and there exist , bi , ci ∈ L ... to show that for any > 0, there exists N1 > such that A1 x, y t1 A1 x, y t2 − t1 t2 < , uniformly with respect to x ∈ V as t1 , t2 ≥ N A1 x, y t1 − A1 x, y t2 < 2.47 Boundary Value Problems 13...
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Báo cáo hoa học: " Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales" ppt
Ngày tải lên :
21/06/2014, 20:20
... development of boundary value problems for differential equations [1–5], dif- ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value problems on ... results for some second-order four-point boundary- value problems Nonlinear Anal 60, 491–500 (2004) [4] Yang, L, Liu, X, Jia, M: Multiplicity results for second-order m-point boundary value problem ... Positive solutions for a nonlinear three-point boundary value problem Electron J Diff Equ 34, 1–8 (1999) [2] Ma, R, Cataneda, N: Existence of solution for nonlinear m-point boundary value problem J...
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Báo cáo hóa học: " Research Article Extremal Solutions of Periodic Boundary Value Problems for First-Order Impulsive " ppt
Ngày tải lên :
22/06/2014, 19:20
... impulse,” Advances in Difference Equations, vol 2005, no 2, pp 119–132, 2005 [7] X Liu and D Guo, “Periodic boundary value problems for impulsive integro-differential equations of mixed type in Banach ... now prove p(t) ≥ for t ∈ JT (2.23) Boundary Value Problems Assume that (2.23) is not true Then, there are two cases: ∗ ∗ (a) there exists t1 ∈ JT such that p(t1 ) < and p(t) ≤ for t ∈ JT ; ∗ ∗ ... vol 25, no 2, pp 119–129, 1991 [9] L H Erbe and D J Guo, “Periodic boundary value problems for second order integrodifferential equations of mixed type,” Applicable Analysis, vol 46, no 3-4, pp...
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Báo cáo hóa học: "Research Article Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order " ppt
Ngày tải lên :
22/06/2014, 22:20
... singular superlinear boundary value problems, ” Acta Mathematica Sinica, vol 48, no 1, pp 25–34, 2005 (Chinese) [8] Z L Wei, “Positive solutions to singular boundary value problems for a class of fourth-order ... (1) If Au ≤ u for any u ∈ ∂Bρ ∩ P, then i(A,Bρ ∩ P,P) = (2) If Au ≥ u for any u ∈ ∂Bρ ∩ P, then i(A,Bρ ∩ P,P) = Singular case We consider boundary value problems of singular system for nonlinear ... Remark 2.10 Balancing condition of a pair of bending elastic beams for fixed two ends may be described by boundary value problems for nonlinear fourth-order singular system (SBVP) x(4) = f1 (t, −...
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ON BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER DISCRETE INCLUSIONS ´ PETR STEHLIK AND CHRISTOPHER C. ppt
Ngày tải lên :
23/06/2014, 00:20
... 154 On BVP for second-order discrete inclusions by [0,1] f2 (t) = {0 } for t = 0, for t ∈ R \ {0}, (1.2) is upper semicontinuous For more information about set-valued maps and differential ... the set-valued map F : {1, ,T } × Rd × Rd → CK(Rd ) satisfies (US) and φ ≤ K, for k = 1, ,T and all (p, q) ∈ R2d , φ ∈ F(k, p, q), (4.4) then the system of discrete inclusion boundary value problems ... and C C Tisdell, On two point boundary value problems for second order differential inclusions, to appear in Dynam Systems Appl W G Kelley and A C Peterson, Difference Equations An Introduction with...
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BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS IN THE CLASS OF CAUCHY-TYPE INTEGRALS WITH DENSITY IN pot
Ngày tải lên :
23/06/2014, 00:20
... ctg (3.10) 50 Boundary value problems for analytic functions Now we apply the Riesz-type interpolation theorem known for the spaces L p(·) (see [25, Theorem 14.16]) in the following form: if a linear ... that for the function Gµ (t) = a(t) − b(t) iµ(t) e a(t) + b(t) (11.2) 68 Boundary value problems for analytic functions the conditions of Theorem 8.2 with G replaced by Gµ are fulfilled Then for ... Applications to conformal mappings, Mem Differential Equations Math Phys 14 (1998), 195 B V Khvedelidze, Linear discontinuous boundary value problems of function theory, singular integral equations and...
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ASYMPTOTIC BOUNDARY VALUE PROBLEMS FOR EVOLUTION INCLUSIONS ´ˇ ¨ TOMAS FURST Received 24 January pot
Ngày tải lên :
23/06/2014, 00:20
... is nonempty, closed and convex for all (t,v) ∈ K × V1 , V2 is upper semi-continuous for almost all t ∈ K, (ii) F(t, ·) : V1 Asymptotic boundary value problems for evolution inclusions V2 is product ... Jan Andres for bringing up the topic, for fruitful discussions on the theme, and for numerous inspirating consultations References [1] J Andres and R Bader, Asymptotic boundary value problems in ... propose a possible modification of the continuation principle, namely its application to boundary value problems for partial differential inclusions in Banach spaces This section is a direct generalization...
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