Integrable boundary conditions for nonlinear lattices [PDF]
, 2000 11 ...
Habibullin, I. T., Vil'danov, A. N.
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Initial-boundary value problems for the defocusing nonlinear Schr\"odinger equation in the semiclassical limit [PDF]
, 2014 Initial-boundary value problems for integrable nonlinear partial differential equations have become tractable in recent years due to the development of so-called unified transform techniques.
Miller, Peter D., Qin, Zhenyun
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Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions [PDF]
Opuscula Mathematica, 2016 We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by \[\begin{aligned} x^{\prime}(t)& = r(t)x(t) + \sum_{i=1}^{m} f_i(t,x(t)), \quad t \in [0,1 ...
Seshadev Padhi, Smita Pati, D. K. Hota
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Boundary oscillations and nonlinear boundary conditions
Comptes Rendus. Mathématique, 2006 We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type ∂u∂n+g(x,u)=0. We show that there exists a function γ defined on the boundary, that depends on the oscillations at the boundary, such that, if γ is a bounded function, then, for all nonlinearities g,
Arrieta, Jose M., Bruschi, Simone M.
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Solitons in Nonlinear Media with an Infinite Range of Nonlocality: First Observation of Coherent Elliptic Solitons and of Vortex-Ring Solitons [PDF]
, 2005 We present an experimental study on wave propagation in highly nonlocal optically nonlinear media, for which far-away boundary conditions significantly affect the evolution of localized beams.
Carmon, Tal +4 more
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SOME ELLIPTIC PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS [PDF]
Spectral Theory and Nonlinear Analysis with Applications to Spatial Ecology, 2005 This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions.
Morales Rodrigo, Cristian +4 more
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The investigation of solutions for nonlinear system of differential equations with boundary conditions [PDF]
مجلة التربية والعلم, 2007 In this paper we investigate the existence and approximation for nonlinear system of differential equations with boundary conditions by using the numerical-analytic method for investigate of a periodic solutions which is given by Samoilenko A. M.
R.N. Butris, Azzam salahdin younis
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A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model [PDF]
, 2002 The O(3) nonlinear sigma model with boundary, in dimension two, is considered. An algorithm to determine all its soliton solutions that preserve a rotational symmetry in the boundary is exhibited.
Albertsson +22 more
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Differential equations with nonlinear boundary conditions [PDF]
Proceedings of the American Mathematical Society, 1994 This paper shows the existence of multiple unbounded branches of solutions for certain equations via the Nielsen fixed-point theory.
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Research of the three-point boundary value problems for nonlinear second-order difference equation
Journal of Hebei University of Science and Technology, 2021 In order to extend the basic theory of nonlinear discrete boundary value problems,this paper studied the sufficient conditions for the existence of positive solutions for a class of nonlinear second-order difference equations with three-point boundary ...
Wenying WEI, Yude JI, Yanping GUO
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