Results 71 to 80 of about 77,285 (214)
Semilinear integrodifferential equations with nonlocal initial conditions
Computers & Mathematics with Applications, 2004 The paper is concerned with developing existence and uniqueness theorems for the Cauchy problem for semilinear integro-differential equations of convolution type. The sequence of theorems presented extends the existing results and can be applied, as is shown in the final section of the paper, to problems that arise in heat conduction in materials with ...
Ti-Jun Xiao +3 more
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Lietuvos Matematikos Rinkinys, 2012 In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
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Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions [PDF]
Boundary Value Problems, 2015 This paper deals with blow-up properties of solutions to a nonlocal parabolic system with nonlocal boundary conditions. The global existence and finite time blow-up criteria are obtained. Moreover, for some special cases, we establish the precise blow-up rate estimates.
Lixin Tian +3 more
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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Lietuvos Matematikos Rinkinys, 2013 This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
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Nonlinear hyperbolic systems with nonlocal boundary conditions
Journal of Mathematical Analysis and Applications, 1987 A nonlinear first-order hyperbolic partial differential equation with nonlocal boundary conditions and subject to an initial condition is studied as a mathematical model for a structured biological population. Its integral form is obtained by integration along the characteristic curves of the differential problem.
Eugenio Sinestrari, Glenn F. Webb
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Sigma Models and Minimal Surfaces [PDF]
, 1997 The correspondance is established between the sigma models, the minimal surfaces and the Monge-Ampere equation. The Lax -Pairs of the minimality condition of the minimal surfaces and the Monge-Ampere equations are given.
Gurses, Metin
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On the Heat Equation with Nonlinear and Nonlocal Boundary Conditions
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sean McKee, Bartur Jumarhon
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Журнал Белорусского государственного университета: Математика, информатика, 2019 Error in the article "On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition"
Alexander L. Gladkov +1 more
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Second order systems with nonlinear nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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Boundary Controllability of Differential Equations with Nonlocal Condition
Journal of Mathematical Analysis and Applications, 1999 Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Hyo-Keun Han, Jong Yeoul Park
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