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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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions [PDF]
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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On Nonclassical Impulsive Ordinary Differential Equations with Nonlocal Conditions [PDF]
International Journal of Analysis and Applications, 2019 Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
S. A. Bishop +2 more
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A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation
Differential Equations, 2004 One considers a Cauchy problem for the two dimensional hyperbolic equation where the solution has to verify a nonlocal integral condition, too. The stated problem cannot be reduced to a boundary value problem. Under certain conditions one proves a priori estimates and the existence and uniqueness of solutions in a Sobolev space.
L S Pulkina
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Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics
Mathematical and Computational Applications, 2021 Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Sturm–Liouville problem with two point nonlocal second type boundary condition
Lietuvos Matematikos Rinkinys, 2005 The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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