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Integrable boundary conditions and modified Lax equations [PDF]
Nuclear Physics B, 2008 We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable ...
Avan, Jean, Doikou, Anastasia
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On singular $p$-Laplacian boundary value problems involving integral boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We prove the existence of positive solutions for the $p$-Laplacian equations \[-(\phi (u^{\prime }))^{\prime }=\lambda f(t,u),\qquad t\in (0,1) \] with integral boundary conditions. Here $\lambda $ is a positive parameter, $\phi (s)=|s|^{p-2}s,p>1,\ f:(0,
Dang Dinh Hai, Xiao Wang
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Weber-Type Integral Transform Connected with Robin-Type Boundary Conditions
Mathematics, 2020 A new Weber-type integral transform and its inverse are defined for the representation of a function f(r,t), (r,t)∈[R,1]×[0,∞) that satisfies the Dirichlet and Robin-type boundary conditions f(R,t)=f1(t), f(1,t)−α∂f(r,t)∂r|r=1=f2(t), respectively.
Thanaa Elnaqeeb +2 more
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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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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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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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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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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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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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