Results 1 to 10 of about 26,373 (304)
On global attractivity of solutions of a functional-integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
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Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
Journal of Mathematics, 2021 In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first,
Neda Khaksari +2 more
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Cauchy–Jost function and hierarchy of integrable equations [PDF]
Theoretical and Mathematical Physics, 2015 Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the $\bar\partial$-problem for this function it is shown that all equations of the KPII hierarchy are given in a compact and explicit form, including equations on the Cauchy--Jost function itself, time evolutions of the Jost ...
Boiti, M. +2 more
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An Integral Equation Involving Legendre Functions [PDF]
Journal of the Society for Industrial and Applied Mathematics, 1964 Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of fractional order.
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International Journal of Analysis and Applications, 2016 In the present manuscript, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contains various integral and functional equations that considered in nonlinear analysis and its applications ...
Lakshmi Narayan Mishra +2 more
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Compactness Conditions in the Study of Functional, Differential, and Integral Equations
Abstract and Applied Analysis, 2013 We discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness conditions.
Józef Banaś, Kishin Sadarangani
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Mathematics, 2020 Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Hasanen A. Hammad, Amal A. Khalil
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Local asymptotic stability for nonlinear quadratic functional integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a quadratic functional integral equation via a fixed point theorem of Darbo.
Bapurao Dhage, S. S. Bellale
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About the Existence of Integrable Solutions of a Functional-Integral Equation
Revista Matemática Complutense, 1991 The author proves the existence of integrable solutions for a class of functional-integral equations of the type \(x(t)=g(t)+f\left(t,\int_ 0^ 1 k(t,s)x(\varphi(s))ds\right)\), \(t\in[0,1]\), which arises in different applications. He improves a previous result by \textit{J. Banaś} and \textit{Z.
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On stochastic solutions of nonlocal random functional integral equations
Arab Journal of Mathematical Sciences, 2019 In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
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