Results 41 to 50 of about 59,795 (219)
Constructing solutions for a kinetic model of angiogenesis in annular domains [PDF]
, 2016 We prove existence and stability of solutions for a model of angiogenesis set in an annular region. Branching, anastomosis and extension of blood vessel tips are described by an integrodifferential kinetic equation of Fokker-Planck type supplemented with
Carpio, Ana +2 more
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Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]
, 2011 In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
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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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Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved.
Dovlet M. Dovletov
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AIMS Mathematics, 2022 In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem.
A. M. A. El-Sayed +2 more
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Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
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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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An elliptic singular system with nonlocal boundary conditions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 Abstract We study the existence of solutions for the nonlinear second order elliptic system Δ u + g ( u ) = f ( x ) , where g ∈ C ( R N ∖ S , R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a geometric condition on g .
Manuel Maurette +3 more
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Lietuvos Matematikos Rinkinys, 2021 In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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Lietuvos Matematikos Rinkinys, 2011 The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė +1 more
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