Results 31 to 40 of about 3,163,886 (311)

Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]

open access: yes, 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
core   +1 more source

Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels

open access: yesAbstract 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
doaj   +1 more source

Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering

open access: yesMathematics, 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
doaj   +1 more source

The existence of consensus of a leader-following problem with Caputo fractional derivative [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Nonconvolution nonlinear integral Volterra equations with monotone operators

open access: yes, 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
core   +1 more source

Application of the enhanced modified simple equation method for Burger-Fisher and modified Volterra equations

open access: yes, 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
semanticscholar   +1 more source

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

open access: yesMathematical Biosciences and Engineering, 2022
In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
doaj   +1 more source

The Jungle Universe [PDF]

open access: yes, 2014
In this paper, we exploit the fact that the dynamics of homogeneous and isotropic Friedmann-Lemaitre universes is a special case of generalized Lotka-Volterra system where the competitive species are the barotropic fluids filling the Universe.
Carletti, Timoteo   +4 more
core   +4 more sources

Note on a Family of Volterra Equations [PDF]

open access: yesProceedings 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.
openaire   +1 more source

A new approach for solving nonlinear Volterra integro-differential equations with Mittag--Leffler kernel

open access: yesProceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2020
In this work, we consider a general class of nonlinear Volterra integro-differential equations with Atangana–Baleanu derivative. We use the operational matrices based on the shifted Legendre polynomials to obtain numerical solution of the considered ...
R. Jafari
semanticscholar   +1 more source

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