Results 31 to 40 of about 3,130,595 (306)
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of integral equations and applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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Anticipating stochastic Volterra equations
Stochastic Processes and their Applications, 1997 Preprint enviat per a la seva publicació en una revista científica: Stochastic Processes and their Applications, Volume 72, Issue 1, 1 December 1997, Pages 73-95. [https://doi.org/10.1016/S0304-4149(97)00075-6]
Alòs, Elisa, Nualart, David, 1951-
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract and Applied Analysis, 2012 Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
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Mathematics, 2021 The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems.
Svetlana Solodusha, Mikhail Bulatov
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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The existence of consensus of a leader-following problem with Caputo fractional derivative [PDF]
Opuscula Mathematica, 2019 In this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given.
Ewa Schmeidel
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, 2017 The enhanced modified simple equation method plays a vital role in finding an exact traveling wave solution of nonlinear evolution equations (NLEEs) in engineering and mathematical physics.
Chuhan Zhang, Zhe Zhang
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Nonconvolution nonlinear integral Volterra equations with monotone operators
, 2010 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper.
Arias +15 more
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Note on a Family of Volterra Equations [PDF]
Proceedings of the American Mathematical Society, 1974 We prove that the solutions of a certain family of Volterra integrodifferential equations are uniformly bounded. We use this result to determine the asymptotic behavior of the solution of a Volterra equation in Hilbert space.
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