Second-Order Boundary Value Problem with Integral Boundary Conditions [PDF]
Boundary 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
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Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions [PDF]
Journal 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
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
Electronic Journal of Differential Equations, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda ...
Jeff R. L. Webb
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Boundary conditions: The path integral approach [PDF]
Journal of Physics: Conference Series, 2007 The path integral approach to quantum mechanics requires a substantial generalisation to describe the dynamics of systems confined to bounded domains. Non-local boundary conditions can be introduced in Feynman's approach by means of boundary amplitude ...
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Integrable Boundary Conditions for Quad Equations, Open Boundary Reductions, and Integrable Mappings [PDF]
International 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
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SOLUTIONS OF NONLINEAR BOUNDARY SYSTEM WITH COUPLED INTEGRAL BOUNDARY CONDITIONS
E-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
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Integrable impurities as boundary conditions [PDF]
EPL (Europhysics Letters), 2011 6 ...
Moliner, M., Schmitteckert, P.
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Quantum integrability of certain boundary conditions [PDF]
Physics Letters B, 1999 11 pages, Latex file, minor changes, one reference ...
Moriconi, M., De Martino, A.
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No-Boundary Proposal as a Path Integral with Robin Boundary Conditions [PDF]
Physical 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
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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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