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Second-Order Boundary Value Problem with Integral Boundary Conditions [PDF]

open access: yesBoundary Value Problems, 2011
The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions.
Nieto JuanJ   +2 more
doaj   +4 more sources

Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions [PDF]

open access: yesJournal 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
doaj   +4 more sources

Integrable Boundary Conditions for Quad Equations, Open Boundary Reductions, and Integrable Mappings [PDF]

open access: yesInternational Mathematics Research Notices, 2021
Abstract In the context of integrable difference equations on quad-graphs, we introduce the method of open boundary reductions, as an alternative to the well-known periodic reductions, for constructing discrete integrable mappings and their invariants. The mappings are obtained from well-posed initial value problems for quad and boundary
Caudrelier, V   +2 more
openaire   +4 more sources

SOLUTIONS OF NONLINEAR BOUNDARY SYSTEM WITH COUPLED INTEGRAL BOUNDARY CONDITIONS

open access: yesE-Jurnal Matematika, 2023
This article presented some theorems on a novel non-linear multiple Integro-differential equations of boundary T-system. It has been studied the numerical-analytic method and Banach fixed point theorem for the existence and approximation of the solutions
RAAD NOORI BUTRIS, HEWA SALMAN FARIS
doaj   +1 more source

Integrable impurities as boundary conditions [PDF]

open access: yesEPL (Europhysics Letters), 2011
6 ...
Moliner, M., Schmitteckert, P.
openaire   +3 more sources

Quantum integrability of certain boundary conditions [PDF]

open access: yesPhysics Letters B, 1999
11 pages, Latex file, minor changes, one reference ...
Moriconi, M., De Martino, A.
openaire   +4 more sources

No-Boundary Proposal as a Path Integral with Robin Boundary Conditions [PDF]

open access: yesPhysical Review Letters, 2019
Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry.
Di Tucci, Alice, Lehners, Jean-Luc
openaire   +4 more sources

Boundary conditions for integrable equations [PDF]

open access: yesJournal 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
openaire   +3 more sources

Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Constant-Sign Green’s Function of a Second-Order Perturbed Periodic Problem

open access: yesAxioms, 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
doaj   +1 more source

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