Results 21 to 30 of about 2,217,193 (194)
Fredholm and Volterra nonlinear possibilistic integral equations [PDF]
, 2021 In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
IANCU, Ionuț T., GAL, Sorin G.
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On random solutions of Volterra-Fredholm integral equations [PDF]
Pacific Journal of Mathematics, 1983 Existence, uniqueness and boundedness theorems for solutions of the nonlinear stochastic integral equation \[ x(t;\omega)=f(t;\omega)+\int^{t}_{0}a(t,s;\omega)g(s,x(s;\omega))ds+\i nt^{\infty}_{0}b(t,s;\omega)h(s,x(s;\omega))ds,\quad t\geq 0 \] are obtained using the admissibility theory of integral operators and contractor theory.
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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 OptimizationThis 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 +2 more
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Almost sure subexponential decay rates of scalar Ito-Volterra equations. [PDF]
, 2004 The paper studies the subexponential convergence of solutions of scalar Itˆo-Volterra equations. First, we consider linear equations with an instantaneous multiplicative noise term with intensity .
Appleby, John A.D.
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Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
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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 +2 more
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Solving of Linear Volterra-Fredholm Integral Equations via Modification of Block Pulse Functions
Jurnal Matematika Integratif, 2021 A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T).
Ayyubi Ahmad
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
Journal of Applied Mathematics, 2014 We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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