Results 11 to 20 of about 44,309 (264)
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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Solvability of functional-integral equations (fractional order) using measure of noncompactness
Advances in Difference Equations, 2020 We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.
Reza Arab +3 more
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A Liapunov functional for a linear integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this note we consider a scalar integral equation $x(t)= a(t)-\int^t_0 C(t,s)x(s)ds$, together with its resolvent equation, $R(t,s)= C(t,s)-\int^t_s C(t,u) R(u,s)du$, where $C$ is convex. Using a Liapunov functional we show that for fixed $s$ then $|R(
Theodore Burton
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On an Integral Equation with the Riemann Function Kernel
Axioms, 2022 This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations, and the representation of solutions of singular Sturm–Liouville and Shrödinger equations.
Sergei M. Sitnik, Abdul Ahad Arian
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Existence of periodic solutions for a class of functional integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we investigate the existence of periodic solution for a class of nonlinear functional integral equation. We first prove a fixed point theorem in a Banach algebra and with its help, an existence theorem about periodic solution to the ...
Wei Long, Xiong-Jun Zheng, Lu Li
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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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Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy
International Journal of Mathematics and Mathematical Sciences, 1991 A discussion is given of some of the properties of the functional Volterra Integral equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy. and of the corresponding multidimensional equation.
Li. G. Chambers
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Weighted Cauchy-type problem of a functional differ-integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2007 In this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of ...
Ahmed El-Sayed +1 more
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Approximation Solution of Volterra Integral Equation Using Adomian Decomposition Method [PDF]
Engineering and Technology Journal, 2009 In this paper, Adomian Decomposition method has been used to find the approximationsolution for the linear Volterra integral equation of the second kind.
Khawla A. AL-Zubaidy
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Relevant Classes of Weakly Picard Operators
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper we consider the following problems:
Rus Ioan A.
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