Results 11 to 20 of about 783,161 (291)
Boundary conditions for integrable equations [PDF]
Journal of Physics A: Mathematical and General, 1997 Summary: The problem of constructing boundary conditions for nonlinear equations compatible with higher symmetries is considered. In particular, this problem is discussed for the sine-Gordon, Jiber-Shabat, Liouville and KdV equations. New results are obtained for the last two ones.
Adler V. +3 more
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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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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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Integral boundary conditions in phase field models
Computers & Mathematics with Applications, 2023 Modeling the chemical, electric, and thermal transport as well as phase transitions and the accompanying mesoscale microstructure evolution within a material in an electronic device setting involves the solution of partial differential equations often with integral boundary conditions.
Xiaofeng Xu +4 more
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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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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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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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Boundaries of Graphs of Harmonic Functions [PDF]
, 2009 Harmonic functions $u:{\mathbb R}^n \to {\mathbb R}^m$ are equivalent to integral manifolds of an exterior differential system with independence condition $(M,{\mathcal I},\omega)$.
Fox, Daniel
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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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