Boundary value problem
Existence and nonexistence results for second-order Neumann boundary value problem
... The paper is divided into six sections. In Section 2, we provide some preliminaries and various lemmas, which play key roles in this paper. In Section 3, we give the existence theorems of the sublinear Neumann ...
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Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
... Here we are concerned with the discrete fractional calculus [2, 10]. It turns out that Lyapunov fractional inequalities can also be obtained by considering a discrete fractional difference in (1.1) instead the Caputo or ...
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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
... is considered. Here f satisfies a local Carathéodory condition, and f (t, x, y) may be singular at the value 0 in its space variable x. Using regularization and sequential techniques and Krasnosel’skii’s fixed point ...
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The Initial Boundary Value Problem of the Generalized Wigner System
... initial boundary value problem of the generalized Wigner system, which models quantum mechanical (charged) particles transport under the influence of a generalized Hartree potential ...
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Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity
... Abstract. We prove the existence and uniqueness of a global decaying solution to the initial boundary value problem for the quasilinear wave equation with Kelvin-Voigt dissipation and a derivative ...
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Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy
... Abstract. We propose an approach to the nonvanishing boundary value problem for integrable hierarchies based on the dressing method. Then we apply the method to the AKNS hierarchy. The solutions are ...
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Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem
... This makes necessary to construct a different kind of cone that, as far as we know, has not been previously used in the literature. With this cone, we will give some conditions to assure the existence of a positive and ...
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HIGHER ORDER BOUNDARY VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL INCLUSIONS
... In this section we present a second existence result for problem (1.1)– (1.3) when the multi-valued nonlinearity is not necessarily convex. In the proof, we will make use of the nonlinear alternative of ...
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THE INVESTIGATION SOLVABILITY OF THE SECOND BOUNDARY VALUE PROBLEM FOR PARTIAL DIFFERENTIAL EQUATION WITH INVOLUTORY DEVIATIONS IN THE LOWEST TERMS
... 9. Bzheumikhova O.I. Application of Fourier method to investigation of the Dirichlet problem for partial differential equations with deviating arguments / O.I. Bzheumikhova, V.N. Lesev // International Journal of ...
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BOUNDARY-VALUE PROBLEMS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS
... Corollary 1. The spectrum of the boundary value problem 2.5 2.7 is purely discrete and belongs to the open upper half-plane. For all the values of h with Im > 0, except possible four a ...
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POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT EIGENVALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
... We firstly give the corresponding Green’s function for the associated linear BVP and some of its properties. Moreover, by applying Krasnoselskii’s fixed point theorem, we derive an interval of λ on which there exists a ...
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On lower and upper solutions method for higher order functional boundary value problems
... This type of boundary value problem includes a wide range of equations, problems and applications that are improved by this work. As examples, we refer the reader to the papers [6, 9, 13, 14] for ...
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EFFICIENT NUMERICAL METHOD FOR SOLUTION OF BOUNDARY VALUE PROBLEMS WITH ADDITIONAL CONDITIONS
... reduces to a typical two-point boundary value problem. However, there is an important reason to present a suitable procedure here. It was mentioned that a dead zone can be formed only for particular ...
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New Trends on Nonlocal and Functional Boundary Value Problems
... initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval subject to inhomogeneous boundary ...
102
MULTIPLICITY AND LOCATION RESULTS FOR SECOND ORDER FUNCTIONAL BOUNDARY VALUE PROBLEMS
... of problem with a discussion on the number of solutions of the boundary value problem was introduced in [1] and since then are known as Ambrosetti-Prodi ...
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Existence of three solutions for impulsive multi-point boundary value problems
... Abstract. This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational ...
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Discrete Hilbert boundary value problems on half lattices
... Hilbert boundary value ...the boundary actually consists of three interlinked layers one has a certain freedom in imposing jump conditions, a freedom which does not exist in the continuous ...the ...
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Higher order boundary value problems with φ-Laplacian and functional boundary conditions
... order boundary value problem with nonlocal conditions, ...multi-point boundary value problems, ...multi-point boundary value problems, Results ...multipoint ...
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