Results 21 to 30 of about 26,373 (304)
Integrable Solutions of a Functional-Integral Equation
Revista Matemática Complutense, 1989 Under certain assumptions on the functions f,g,k the authors prove that the functional-integral equation \[ x(t)=g(t)+f(t,\int^{1}_{0}k(t,s)x(\phi (s))ds), \] \(t\in [0,1)\) has at least one solution \(x\in L^ 1[0,1]\), which is a.e. nonincreasing on \(L^ 1[0,1]\).
Banaś, Józef, Knap, Zygmunt
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Integrable functional equations and algebraic geometry [PDF]
Duke Mathematical Journal, 1994 The authors offer the measurable solutions of the functional equation \[ q(x,y) q(y,z) = q(x,z) (r(x,y) - r(y,z)) + p(x,z). \] It turns out that they depend only upon the differences of their variables (and are thus related to integrable many-body problems, cf. \textit{F. Caligero}, Lett.
Dubrovin, Boris +2 more
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About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
International Journal of Differential Equations, 2016 An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated ...
Kishin B. Sadarangani +1 more
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Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations
Complexity, 2018 We study the existence of weak solutions for the coupled system of functional integral equations of Urysohn-Stieltjes type in the reflexive Banach space E.
A. M. A. El-Sayed, M. M. A. Al-Fadel
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Solving special systems of integral equations by using Sumudu transform with a semi-analytical method [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 In this paper, specific forms of non-linear systems of integral equations have been solved using the Sumudu transform and the Adomian decomposition method.
Waleed Al-Hayani
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract 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
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New Retarded Integral Inequalities with Applications
Journal of Inequalities and Applications, 2008 Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004).
S. K. Sen, Young-Ho Kim, Ravi P. Agarwal
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Integral equations for Lamé functions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1942 In the theory of ordinary linear differential equations with three regular singularities and in the theory of their special and limiting cases, integral representations of the solutions are known to be very important. It seems that there is no corresponding simple integral representation of the solutions of ordinary linear differential equations with ...
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High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]
, 2012 This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
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On exponential stability of functional differential equations with variable impulse perturbations
, 2014 We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov ...
Bonotto, Everaldo de Mello +2 more
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