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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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
Pao, C.V.
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On Nonclassical Impulsive Ordinary Differential Equations with Nonlocal Conditions
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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Semilinear evolution inclusions with nonlocal conditions
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boucherif, Abdelkader
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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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Nonlocal Mixed Systems With Neumann Boundary Conditions [PDF]
Mathematical Methods in the Applied SciencesABSTRACTWe prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions ...
Rinaldo M. Colombo +2 more
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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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