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Distribution theory for Schr\"odinger's integral equation [PDF]
, 2015 Much of the literature on point interactions in quantum mechanics has focused on the differential form of Schr\"odinger's equation. This paper, in contrast, investigates the integral form of Schr\"odinger's equation.
Albeverio S. +8 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs
Axioms, 2021 In this article, we discuss semilinear elliptic partial differential equations with singular integral Neumann boundary conditions. Such boundary value problems occur in applications as mathematical models of nonlocal interaction between interior points ...
Praveen Agarwal +2 more
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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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New boundary conditions for integrable lattices [PDF]
Journal of Physics A: Mathematical and General, 1995 22 pages, latex, no ...
Kuznetsov, V.B. +2 more
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Advances in Difference Equations, 2018 In this paper, we discuss a nonlinear fractional order boundary value problem with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions. By using Mawhin continuation theorem, we investigate the existence of solutions
Qiao Sun, Shuman Meng, Yujun Cui
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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
Mathematics, 2019 In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions.
Ahmed Salem +2 more
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Nonlocal boundary value problems with BV-type data
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives.
Jürgen Appell +2 more
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Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems [PDF]
, 2016 The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions.
Klyuchnyk, R., Kmit, I.
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Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
Journal of Applied Mathematics, 2013 We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x ...
Hui Li, Libo Wang, Minghe Pei
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