Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]
Opuscula Mathematica, 2018 We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
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Constant-Sign Green’s Function of a Second-Order Perturbed Periodic Problem
Axioms, 2022 In this paper, we were interested in obtaining the exact expression and studying the regions of constant sign of Green’s function related to a second-order perturbed periodic problem coupled with integral boundary conditions at the extremes of the ...
Alberto Cabada +2 more
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Integrable boundary conditions for nonlinear lattices [PDF]
, 2000 11 ...
Habibullin, I. T., Vil'danov, A. N.
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Boundary conditions for two-dimensional integrable chains [PDF]
Physics Letters A, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürel, B., Habibullin I.
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Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]
, 2004 A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham +16 more
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Integrable open boundary conditions for XXC models [PDF]
Journal of High Energy Physics, 1998 The XXC models are multistate generalizations of the well known spin 1/2 XXZ model. These integrable models share a common underlying su(2) structure. We derive integrable open boundary conditions for the hierarchy of conserved quantities of the XXC models .
Arnaudon, Daniel, Maassarani, Ziad
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Functional differential inclusions with integral boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2007 In this paper, we investigate the existence of solutions for a class of second order functional differential inclusions with integral boundary conditions.
Mouffak Benchohra +2 more
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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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