integration of nonlinear initial value problems
Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" pptx
... solutions of dynamic equations on time scales (see, e.g., [1–7]) This work entails an extension of the paper by Chyan and Henderson [8] to eigenvalue problems for systems of nonlinear boundary value problems ... “Eigenvalues of some non-local boundary -value problems, ” Proceedings of the Edinburgh Mathematical Society, vol 46, no 1, pp 75–86, 2003 [19] G Infante and J R L Webb, “Loss of positivity in a nonlinear ... boundary value problems, ” Nonlinear Analysis: Theory, Methods & Applications, vol 42, no 6, pp 1003–1010, 2000 [23] H Wang, “On the number of positive solutions of nonlinear systems,” Journal of Mathematical...
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Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" potx
... solutions of dynamic equations on time scales (see, e.g., [1–7]) This work entails an extension of the paper by Chyan and Henderson [8] to eigenvalue problems for systems of nonlinear boundary value problems ... “Eigenvalues of some non-local boundary -value problems, ” Proceedings of the Edinburgh Mathematical Society, vol 46, no 1, pp 75–86, 2003 [19] G Infante and J R L Webb, “Loss of positivity in a nonlinear ... boundary value problems, ” Nonlinear Analysis: Theory, Methods & Applications, vol 42, no 6, pp 1003–1010, 2000 [23] H Wang, “On the number of positive solutions of nonlinear systems,” Journal of Mathematical...
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ON THE SOLVABILITY OF INITIAL-VALUE PROBLEMS FOR NONLINEAR IMPLICIT DIFFERENCE EQUATIONS PHAM KY ANH pdf
... boundary -value problems for linear implicit nonautonomous systems of difference equations, Vietnam J Math 29 (2001), no 3, 281–286 M S Berger, Nonlinearity and Functional Analysis, Lectures on Nonlinear ... Lγ < 1, F is a homeomorphism of X into Y Consider a system of nonlinear IDEs fn xn+1 ,xn = (n where fn : Rm → Rm are given vector functions 0), (3.1) 198 IVPs for nonlinear implicit difference ... two subspaces Nn−1 ,Nn In the remainder of this paper, for the sake of simplicity, the norm of Rm is assumed to be Euclidean Theorem 3.3 Let (3.1) be of index Moreover, suppose that G−1 (y,x)...
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS" pptx
... solutions of singular nonlinear m-point boundary value problems, Journal of Mathematical Analysis and Applications 284 (2003), no 2, 576–590 [7] R Ma and N Castaneda, Existence of solutions of nonlinear ... Solvability of m-point boundary value problems with nonlinear growth, Journal of Mathematical Analysis and Applications 212 (1997), no 2, 467–480 [4] C P Gupta and S I Trofimchuk, Existence of a solution ... ≤ un,λ (t) for t ∈ [0,1] Thus, un,λ (t) is a positive solution of (2.1λ ) The proof is complete n Proof of the main results Proof of Theorem 2.1 Let Λ = {λ ∈ (0,+∞)|(1.1λ ) has at least one positive...
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vnode - A Validated Solver for Initial Value Problemsin Ordinary Differential Equations
... 45 Testing 5.1 General tests 5.2 Linear problems 5.2.1 Constant coefficient problems 5.2.2 Time-dependent problems 5.3 Nonlinear problems ... FILIB VNODE or PROFIL VNODE name of the directory containing include files of the I LIBDIR interval-arithmetic package name of the directory containing interval libraries I LIBS names of interval libraries ... plot is in Figure 6.4 3.7 Integration control We start by introducing various facts related to the integration process of VNODELP Then we show ways of controlling it 3.7 Integration control 29...
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Báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" pot
... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions by means of the Krasnosel’skii ... x(t) > for t Î (0, 1)) The proof of this condition is similar to the proof of Theorem 2.3 of [23] We present this proof for completeness Theorem Under assumptions of Theorem and suppose that f(t0, ... Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems Boundary Value Problems 2011 2011:25 Page of ...
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báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" ppt
... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions by means of the Krasnosel’skii ... x(t) > for t Î (0, 1)) The proof of this condition is similar to the proof of Theorem 2.3 of [23] We present this proof for completeness Theorem Under assumptions of Theorem and suppose that f(t0, ... Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems Boundary Value Problems 2011 2011:25 Page of ...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... boundary value problem,” Journal of Mathematical Analysis and Applications, vol 306, no 2, pp 589–603, 2005 10 Boundary Value Problems 13 Z Du, W Ge, and X Lin, “Existence of solutions for a class of ... boundary value problems, ” Applied Mathematics Letters, vol 22, no 1, pp 45–51, 2009 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions,” Nonlinear ... solutions of nonlinear singular third-order two-point boundary value problem,” Journal of Mathematical Analysis and Applications, vol 323, no 1, pp 413–425, 2006 12 Y Sun, “Positive solutions of singular...
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Báo cáo hóa học: " Research Article Hierarchies of Difference Boundary Value Problems" pptx
... boundary value problems – to eigenfunctions of the corresponding transformed boundary value problems In particular, if λ1 , , λs l m are the eigenvalues of one of the original boundary value problems, ... of the original boundary value problems 10 – 12 to eigenfunctions of the corresponding transformed boundary value problems In particular, if λ0 , λ1 , , λs l m are the eigenvalues of one of ... boundary value problems, 10 – 12 , have s l m eigenvalues it follows that λ1 , , λs l m constitute all the eigenvalues of the transformed boundary value problem 26 Boundary Value Problems...
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Báo cáo hoa học: " Research Article ¨ Some Basic Difference Equations of Schrodinger Boundary Value Problems" docx
... an eigenvalue of X ∗ , hence the point spectrum of X ∗ is C According to the deficiency index structure 1, of the operator X, let us now choose the particular self-adjoint extension Y of X which ... only of interest to applications in mathematical physics but their functional analytic impact will speak for itself The results altogether show that solving the boundary value problems of Schrodinger ... hull of f P x f x , x ∈ R, f ∈ C1 R Then P√f is not Theorem 2.3 Let < q < and moreover f qx dense in L2 R Proof For n ∈ N0 , the nth moment μn of f can be calculated from the prerequisites of...
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Báo cáo hóa học: " Research Article Extremal Solutions of Periodic Boundary Value Problems for First-Order Impulsive " ppt
... Therefore, u is the unique solution of PBVP (2.41) The proof of Lemma 2.7 is complete Lemma 2.8 u ∈ Ω is a solution of PBVP (1.1) if and only if u ∈ PC[JT , R] is solution of the following integral equation: ... (2.57) The proof of Lemma 2.8 is similar to that of Lemma 2.6 and we will omit it here Main results In this section, we will use the monotone iterative technique to prove the existence of minimal ... 18, no 1-2, pp 18–56, 1990 [4] J Henderson, “Double solutions of impulsive dynamic boundary value problems on a time scale,” Journal of Difference Equations and Applications, vol 8, no 4, pp 345–356,...
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MAXIMUM PRINCIPLES FOR A FAMILY OF NONLOCAL BOUNDARY VALUE PROBLEMS PAUL W. ELOE Received 21 October doc
... 0, s ∈ {0, ,b − n} (2.17) Proof The proof requires only a simple extension from the proof of Theorem 2.3 As summarized in the fourth paragraph of the proof of Theorem 2.3, we know that P1 G has ... boundary value problems of the first kind for a SturmLiouville operator in its differential and finite difference aspects, Differ Equ 23 (1987), no 7, 803–810 , Nonlocal boundary value problems of the ... since v1 is of strict sign Perform a count on the number of generalized zeros of each P j G (Since m1 and s are fixed, P j G is a function of m We suppress the argument for simplicity of notation.)...
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positive solutions of singular boundary value problems
... TWO Singular Boundary Value Problems for Difference Equations This chapter is devoted to the study of solutions of singular boundary value problems for difference equations of the form, (−1)n ∆n ... the least of which is this dissertation Thanks! v CHAPTER ONE Introduction In this dissertation we will be concerned with the existence of positive solutions of singular boundary value problems ... understanding of the methods involved in the higher order case Following the n = case, we will give the generalization Discrete boundary value problems (sometimes referred to as boundary value problems...
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Báo cáo toán học: " Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales" doc
... composed of N parts of different densities can be set up as a multi-point boundary value problem [3] Many problems in the theory of elastic stability can be handled by the method of multi-point problems ... Existence of positive solutions for nonlinear m-point boundary value problems on time scales Junfang Zhao∗1 , Hairong Lian1 and Weigao Ge2 School of Mathematics and Physics, China University of Geosciences, ... value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and physics For example, the vibrations of a guy wire of a uniform...
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Báo cáo hóa học: " On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms" potx
... Aqlan: On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms Boundary Value Problems 2011 2011:47 Page 11 of 11 ... attracted the attention of many researchers, and the method was extensively developed and applied to a wide range of initial and boundary value problems for different types of differential equations ... reversed in the definition of lower solution Now we state some basic results that play a pivotal role in the proof of the main result We not provide the proof as the method of proof is similar to the...
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Báo cáo hóa học: " On singular nonlinear distributional and impulsive initial and boundary value problems" pdf
... Boundary Value Problems This section is devoted to the study of the second order boundary value problem (BVP) Heikkilä Boundary Value Problems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 ... solution of (6.1) In view of Lemma 6.1, (u, v) = (u, u’) is a solution of Heikkilä Boundary Value Problems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 Page 17 of 19 the ... the integral of function x appears in the argument of the tanh-function Heikkilä Boundary Value Problems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 Page 11 of 19 • Its...
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báo cáo hóa học:" Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems" ppt
... Green’s function G t, s of 1.1 , 1.2 Let u be the unique solution of the initial value problem u a tu 0, u0 0, u 1, 1.13 −1 1.14 and let v be the unique solution of the initial value problem v at ... Boundary Value Problems Finally, we state a result concerning the global structure of the set of positive solutions of parameterized nonlinear operator equations, which is essentially a consequence of ... This is a contradiction Therefore, δ accordingly, v ≥ 2.10 T , and Boundary Value Problems Proof of Lemma 2.3 In the proof of 9, Proposition 2.0.1 , the Green function was assumed to have the form...
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báo cáo hóa học:" Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales" pdf
... composed of N parts of different densities can be set up as a multi-point boundary value problem [3] Many problems in the theory of elastic stability can be handled by the method of multi-point problems ... Existence of positive solutions for nonlinear m-point boundary value problems on time scales Junfang Zhao∗1 , Hairong Lian1 and Weigao Ge2 School of Mathematics and Physics, China University of Geosciences, ... value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and physics For example, the vibrations of a guy wire of a uniform...
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báo cáo hóa học:" Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales" pptx
... composed of N parts of different densities can be set up as a multi-point boundary value problem [3] Many problems in the theory of elastic stability can be handled by the method of multi-point problems ... Existence of positive solutions for nonlinear m-point boundary value problems on time scales Junfang Zhao∗1 , Hairong Lian1 and Weigao Ge2 School of Mathematics and Physics, China University of Geosciences, ... value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and physics For example, the vibrations of a guy wire of a uniform...
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