second-order boundary conditions
Second-Order Boundary Value Problem with Integral Boundary Conditions
... Malaguti, “On a nonlocal boundary value problem for second order nonlinear singular di ff erential equations,” Georgian Mathematical Journal , vol. Webb, “Positive solutions of some highe[r] ...
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Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions
... and second authors were supported financially by the National Natural Science Foundation of China (11071141, 11126231) and the Natural Science Foundation of Shandong Province of China (ZR2010AM017, ...
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Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions
... operator (), () that we obtain in this paper are crucial in studying inverse problems for Sturm-Liouville operators on graphs with cycles. Here also lies the main reason of consid- ering the case of Dirichlet ...
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Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
... In this section, we consider an example to illustrate the effectiveness of our new theorems. For brevity, we restrict our attention to scalar-valued impulsive BVPs, although we note that it is not difficult to construct a ...
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Numerical Solutions of Second Order Boundary Value Problems by Galerkin Method with Hermite Polynomials
... Now the unknown parameters are determined by solving the system of equations 9 and substituting these values of parameters in 4 , we get the approximate solution of the equation (3) for Cauchy boundary ...
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Multiplicity of solutions for second order impulsive differential equations with Sturm Liouville boundary conditions
... every t ∈ (, ) and the derivative u may present some discontinuities. This leads to the impulsive effects. As a consequence, we need to introduce a different concept of solution. We say that u ∈ C[, ] is a classical ...
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Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
... of boundary value problems with separated boundary ...the second order differential equation, and study nec- essary and sufficient conditions for the negative and positive eigenvalues ...
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Inequalities among Eigenvalues of Second Order Difference Equations with General Coupled Boundary Conditions
... coupled boundary condition ...coupled boundary value problems, and some properties of eigenvalues of a kind of separated boundary value problem, which will be used in the next ...
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Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments
... ceived much attention; see [, , –] and the references cited therein. In particular, we would like to mention some excellent results of Kong [] and Dai et al. []. In [], Kong considered the existence and ...
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Multiple Positive Solutions for Second-Order -Laplacian Dynamic Equations with Integral Boundary Conditions
... multi-point boundary-value problem for a p-Laplacian type operator,” in Proceedings of the 5th Mississippi State Conference on Di ff erential Equations and Computational Simulations (Mississippi State, MS, 2001), ...
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Principal vectors of second order quantum difference equations with boundary conditions dependent on spectral parameter
... a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first ...
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Existence and Multiplicity Results for Second Order Nonlinear Differential Equations with Multivalued Boundary Conditions
... In this article, by combining lower and upper solutions method, theory of max- imal monotone operators and theory of topological degree, we establish exis- tence and multiplicity results for second-order ...
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Triple positive solutions for a second order m-point boundary value problem with a delayed argument
... The organization of this paper is as follows. In Section , we present the expression and properties of Green’s function associated with problem (.). In Section , we present some definitions and lemmas which are useful ...
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On boundary value problems for second-order discrete inclusions
... have a nonnegative maximum in { 0, ..., T + 1 } . From the assumption (2.20), this maxi- mum must be achieved in { 1,... ,T } . Choose c ∈ { 1,... ,T } such that r(c) = max { r(k); k ∈ { 1, ...,T }} and suppose that ...
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Numerical Solution of Linear Second Order Ordinary Differential Equations with Mixed Boundary Conditions by Galerkin Method
... two-point boundary value problems in terms of differential equations are shooting method, finite difference methods, finite element methods (FEM), Variational methods (Weighted residual methods, Ritz method) and ...
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Periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions
... This paper is organized as follows. Firstly, we introduce a new concept of lower and upper solutions. After that, we establish some new comparison principles and discuss the existence and uniqueness of the solutions for ...
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Existence of solutions for integral boundary value problems of second-order ordinary differential equations
... Motivated by [, , –], this paper is concerned with the boundary value problem (.) under sublinear conditions. The method we use is based on some recent fixed point theorems derived by Sun and Liu ...
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Diffraction by a Wedge or by a Cone with Impedance-Type Boundary Conditions and Second-Order Functional Difference Equations
... the second kind and obey Fredholm ...the second problem the situation is slightly different: the integral operator can be represented by a sum of the boundedly- invertible (Dixon’s operator) and compact ...
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Existence of symmetric solutions for a class of BVP with integral boundary conditions
... In this paper, we study the symmetric solutions of second-order BVP with integral boundary conditions. By using a generalized Leggett-Williams fixed point theorem and some other techniques, we ...
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A class of second-order nonlocal indefinite impulsive differential systems
... the Cartesian product of two cones in the space PC[0, 1], and using the well-known fixed point theorem of cone expansion and compression, we obtain conditions for the existence and multiplicity of positive ...
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