Results 11 to 20 of about 24 (24)
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 169-178, 1997., 1996 A generalized quasilinear technique is employed to derive iterative schemes for nonlinear Volterra integral equations under various monotonicity and convexity (concavity) conditions on the kernels. The iterates in the schemes are linear, and converge monotonically, uniformly and quadratically to the unique solution.
Sudhakar G. Pandit
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A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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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
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Mass transport problems obtained as limits of p-Laplacian type problems with spatial dependence
Advances in Nonlinear Analysis, 2014 We consider the following problem: given a bounded convex domain Ω⊂ℝN${\Omega \subset \mathbb {R}^N}$ we consider the limit as p → ∞ of solutions to -div(bp-p|Du|p-2Du)=f+-f-${- \operatorname{div} (b_{p}^{-p} |Du|^{p-2} Du)=f_+ - f_-}$ in Ω and bp-p|Du|p-
Mazón José M. +2 more
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Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation
Results in Physics, 2021 In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
doaj
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
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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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Applied Mathematics in Science and EngineeringThis study focuses on impulsive Volterra-Fredholm integro-differential equations (VFIDEs) under specific order conditions, conducting a rigorous analysis involving fractional Caputo derivatives.
Prabakaran Raghavendran +2 more
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European Journal of Applied MathematicsIn this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
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A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models. [PDF]
J Math Biol, 2023 Diekmann O, Inaba H.
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