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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari, M. Moradkhani, M.T. Dastjerdi   +2 more
doaj   +1 more source

АППРОКСИМАЦИОННОЕ РЕШЕНИЕ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ФРЕДГОЛЬМА И ВОЛЬТЕРРА ВТОРОГО РОДА МЕТОДОМ S-ПРЕОБРАЗОВАНИЙ [PDF]

, 2010
Аппроксимационно-операционный подход применен к решению интегральных уравнений Фредгольма и Вольтерра второго рода. Показано, что аппроксимация ядер интегральных уравнений как сигналов, зависящих от двух аргументов, обобщенными полиномами на основе ...
Симак, Лилия Алексеевна, Васильев, Всеволод Викторович, Васильев, Алексей Всеволодович   +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

Uniform-graded mesh block method for second kind Volterra integral equations

Computer Assisted Methods in Engineering and Science, 2023
In this paper a block method is developed to use on uniform-graded mesh for the solution of Volterra integral equations of the second kind. This method permits the use of a variable step size when solving Volterra integral equations.
Gamal M. Attia
doaj  

Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra ...
dingshi li, Daoyi Xu
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
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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
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations

, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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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

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