Results 51 to 60 of about 8,540,747 (378)
On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
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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Identification hyperbolic problems with nonlocal conditions
AIP Conference Proceedings, 2018 In the present study, a identification problem with nonlocal conditions for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. Furthermore, a first order of accuracy difference scheme for the numerical solution of the identification hyperbolic equations problems ...
Ashyralyev A., Emharab F.
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Advanced Materials, EarlyView.This review examines the fluid dynamic behavior within carbonaceous porous structures, linking structural characteristics to electrolyte transport and electrochemical performance. Specifically, it quantitatively assesses the effect of polyphenol derivatives‐harnessed multiscale pore structures on active surface utilization and electrochemical activity ...
Minjun Kim +3 more
wiley +1 more source
Mathematical Modelling and Analysis, 2019 Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function.
Mohammed S Abdo +2 more
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
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Nonzero positive solutions of fractional Laplacian systems with functional terms
Mathematische Nachrichten, Volume 296, Issue 1, Page 102-121, January 2023., 2023 Abstract We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type
Stefano Biagi +2 more
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ON SOME PROBLEMS WITH NONLOCAL INTEGRAL CONDITION
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
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Blow-up problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition [PDF]
arXiv, 2022 In this paper we consider initial boundary value problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition and nonnegative initial datum. We prove comparison principle, global existence and blow-up of solutions.
arxiv
Existence of multiple solutions for a wide class of differential inclusions†
Mathematische Nachrichten, Volume 296, Issue 1, Page 152-163, January 2023., 2023 Abstract We give a unified approach to study the existence of multiple positive solutions of nonlinear differential inclusions of the form −u′′(t)∈F(t,u(t)),a.e.t∈(0,1),$$\begin{equation*}\hskip7pc -u^{\prime \prime }(t)\in F(t,u(t)),\; \text{a.e.} \; t \in (0,1), \end{equation*}$$subject to various nonlocal boundary conditions. We study these problems
Filomena Cianciaruso +1 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 AbstractIn this paper we investigate the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. A distinctive feature of this type of boundary and initial conditions is that the parabolic equation may possess multiple solutions even if the reaction ...
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