Results 21 to 30 of about 26,274 (211)

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, Arias, Arias, Arias, Arias, Askhabov, Bushell, Gripenberg, Karapetyants, M.R. Arias, Mydlarczyk, Mydlarczyk, R. Benítez, Szwarc, V.J. Bolós, Zeidler   +15 more
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Affine Volterra processes [PDF]

, 2019
We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimartingales, nor ...
Jaber, Eduardo Abi, Larsson, Martin, Pulido, Sergio   +2 more
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Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
doaj   +3 more sources

Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration
Nihan Güngör
doaj   +1 more source

Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine

Frontiers in Computational Neuroscience, 2023
In this study, we investigate a new neural network method to solve Volterra and Fredholm integral equations based on the sine-cosine basis function and extreme learning machine (ELM) algorithm.
Yanfei Lu, Shiqing Zhang, Futian Weng, Hongli Sun   +3 more
doaj   +1 more source

Random volterra integral equations

Mathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Numerical Solution of Locally Loaded Volterra Integral Equations

Computation
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov, Aliona Dreglea   +3 more
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ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION

Demonstratio Mathematica, 1984
The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
openaire   +2 more sources

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

Mathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source