Results 291 to 300 of about 562,292 (338)

Noetherian Boundary-Value Problems for Integral Equations

Journal of Mathematical Sciences, 2017
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Kozlova, N. O., Feruk, V. A.
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Fractional boundary value problems with integral boundary conditions

Applicable Analysis, 2013
In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.
John R. Graef, Lingju Kong, Qingkai Kong, Min Wang   +3 more
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Boundary Value Problems With Integral Conditions

AIP Conference Proceedings, 2011
The weakly perturbed nonlinear boundary value problems (BVP) for almost linear systems of ordinary differential equations (ODE) are considered. We assume that the nonlinear part contain an additional function, which defines the perturbation as singular. Then the Poincare method is not applicable. The problem of existence, uniqueness and construction of
L. I. Karandzhulov, N. D. Sirakova, George Venkov, Ralitza Kovacheva, Vesela Pasheva   +4 more
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Integrable nonlinear boundary value problems

Physics Letters A, 1992
Abstract We construct an extension of the spectral transform theory that allows us to build nonlinear systems of coupled wave which are integrable for arbitrary boundary values. These problems occur in many areas of physics and model generic processes of interaction of radiation (for which boundary values are prescribed) with matter (for which an ...
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Quaternions, Evaluation of Integrals and Boundary Value Problems

Computational Methods and Function Theory, 2007
The authors review some of the basic concepts and results of quaternionic analysis which can be found in a number of sources including the following books [\textit{K. Gurlebeck} and \textit{W. Sprossig}, Quaternionic analysis and elliptic boundary value problems. Mathematical Research, 56. Berlin: Akademie-Verlag (1989; Zbl 0699.35007)]; [\textit{V. V.
Fokas, Athanassios S., Pinotsis, Dimitrios A.   +1 more
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BOUNDARY AND INITIAL VALUE PROBLEMS AND INTEGRAL OPERATOR

Advances in Differential Equations and Control Processes, 2018
Summary: In this paper, we consider an initial value problem of integrodifferential type (IVP). This kind of problem transforms into Fredholm-Volterra integral equation of second kind (F-VIESK). We discuss the existence of a unique solution of the problem by using Banach fixed point theorem.
Alharbi, F. M., Abdou, M. A.
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Boundary integral methods for singularly perturbed boundary value problems

IMA Journal of Numerical Analysis, 2001
The authors consider boundary integral methods applied to the modified Helmholtz equation \(-\Delta u + \alpha^2 u =0\) with \(\alpha\) real and possibly large. The layer potentials have kernels which become highly peaked for large \(\alpha\), causing standard discretization schemes to fail.
Langdon, S., Graham, I. G.
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On a boundary value problem with integral boundary conditions

Differential Equations, 2015
We study the existence of positive solutions of second-order ordinary differential equations with integral boundary conditions. The result generalizes the conditions obtained in [1] for the existence of positive solutions.
A. Ya. Lepin, L. A. Lepin
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Integral Transforms and Boundary Value Problems

The American Mathematical Monthly, 1952
(1952). Integral Transforms and Boundary Value Problems. The American Mathematical Monthly: Vol. 59, No. 3, pp. 149-155.
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Boundary Integral Equations for Mixed Boundary Value Problems inR3

Mathematische Nachrichten, 1987
Mixed boundary value problems for the scalar Helmholtz equation in \({\mathbb{R}}^ 3 \)are considered in which the solution is required to satisfy a Dirichlet condition on one part \(\Gamma_ 1\) of the boundary and a Neumann condition on the remaining part \(\Gamma_ 2\). Using Green's formula a solution procedure for such problems is developed in terms
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