Results 31 to 40 of about 674,137 (288)

Fractional Langevin Equations with Nonseparated Integral Boundary Conditions [PDF]

open access: yesAdvances in Mathematical Physics, 2020
In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustration of the main work.
Khalid Hilal   +3 more
openaire   +3 more sources

Investigation of the Sturm–Liouville problems with integral boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2011
This paper presents some new results on the spectrum of a complex plane for the second order Finite-Difference Scheme with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
doaj   +1 more source

Boundary conditions: The path integral approach [PDF]

open access: yesJournal 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 distributions and complex phases to describe the quantum dynamics in terms of the classical ...
Asorey, M.   +2 more
openaire   +2 more sources

Robust and efficient solution of the drum problem via Nystrom approximation of the Fredholm determinant [PDF]

open access: yes, 2014
The drum problem-finding the eigenvalues and eigenfunctions of the Laplacian with Dirichlet boundary condition-has many applications, yet remains challenging for general domains when high accuracy or high frequency is needed.
Barnett, Alex, Zhao, Lin
core   +1 more source

Maximum Principle in the Optimal Control Problems for Systems with Integral Boundary Conditions and Its Extension

open access: yesAbstract and Applied Analysis, 2013
The optimal control problem with integral boundary condition is considered. The sufficient condition is established for existence and uniqueness of the solution for a class of integral boundary value problems for fixed admissible controls.
A. R. Safari   +2 more
doaj   +1 more source

Existence of positive solutions of boundary value problem with integral boundary condition at resonance

open access: yesJournal of Hebei University of Science and Technology, 2015
In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral ...
Weihua JIANG, Caixia YANG
doaj   +1 more source

''New'' boundary conditions in integrable lattice models [PDF]

open access: yesProceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000
4 pages, JHEP proceedings style, talk presented at the TMR conference ``Non-perturbative Quantum Effects 2000''
openaire   +2 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

Classical solution for initial–boundary value problem for wave equation with integral boundary condition

open access: yesMathematical Modelling and Analysis, 2012
The unique existence of classical solution of initial–boundary value problem for wave equation with a special integral boundary condition is proved in the work. Classical solution of the problem in analytical form is also found in the article.
Victor Korzyuk   +2 more
doaj   +1 more source

The Functional Integral for a Free Particle on a Half-Plane

open access: yes, 1992
A free non-relativistic particle moving in two dimensions on a half-plane can be described by self-adjoint Hamiltonians characterized by boundary conditions imposed on the systems.
Ikeda N., Michel Carreau, Sato K.
core   +2 more sources

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