Results 21 to 30 of about 271 (74)
Decay estimates for nonlinear nonlocal diffusion problems in the whole space [PDF]
, 2013 In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y) |u(y,t)- u(x,t)|^{p-2} (u(y,t)- u(x,t)) \, dy, $$ with $ x \in \rr^d$, $
Antolin, Angel San +3 more
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Some properties of the functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 27-44, 1991., 1990 A discussion is given of some of the properties of the functional Volterra Integral equation and of the corresponding multidimensional equation. Sufficient conditions are given for the uniqueness of the solution, and an iterational process is provided for the construction of the solution, together with error estimates.
Li. G. Chambers
wiley +1 more source
A note on the existence of non-monotone non-oscillating wavefronts
, 2013 In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos +2 more
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On Schr\"odinger's equation, 3-dimensional Bessel bridges, and passage time problems
, 2010 In this work we relate the density of the first-passage time of a Wiener process to a moving boundary with the three dimensional Bessel bridge process and a solution of the heat equation with a moving boundary.
Hernandez-del-Valle, Gerardo
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An Innovative Approach to the Product of k-Hybrid Functional Integral Equation
Abstract and Applied AnalysisMSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
wiley +1 more source
On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali +3 more
wiley +1 more source
A Class of Higher‐Order Collocation Scheme for the Integral Equation of the Convolution Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.Auto convolution Volterra integral equations (ACVIEs) are the particular form of non‐standard integral equations arising in mathematical modeling processes and the computation of certain functions. In this paper, a novel class of multistep collocation methods (NM‐SCMs) is constructed in order to find a higher‐order method is constructed for the ...
M. Alsahlanee +3 more
wiley +1 more source
Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three
Open MathematicsIn this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela +2 more
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Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations [PDF]
, 2007 2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy ...
Amer, S. M., Hassan, A. A. M.
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