Results 21 to 30 of about 406,386 (293)
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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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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Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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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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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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Fractional Laplace Transforms - A Perspective [PDF]
, 2014 A form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed.
Baumjohann, W., Treumann, R. A.
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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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Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper. In this manuscript, we utilize Lyapunov functionals combined with Laplace transform to qualitatively analyze the solutions of the integral equation In ...
Youssef N. Raffoul, Joseph Raffoul
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