Results 21 to 30 of about 444 (85)
An oscillation criterion for inhomogeneous Stieltjes integro‐differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 287-291, 1994., 1993 The aim of the paper is to give an oscillation theorem for inhomogeneous Stieltjes integro‐differential equation of the form . The paper generalizes the author′s work [2].
M. A. El-Sayed
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Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 43-67, 1992., 1991 The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder′s theorem is used. The paper is a continuation of papers [1]‐[8] and the generalizations of some results from [9]‐[11].
Ludwik Byszewski
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Extremal solutions to a class of multivalued integral equations in Banach space
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 205-220, 1992., 1992 We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang‐bang” theorem for a class of nonlinear, infinite dimensional control systems.
Sergiu Aizicovici +1 more
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Some properties of the functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 27-44, 1991., 1990 A discussion is given of some of the properties of the functional Volterra Integral equation and of the corresponding multidimensional equation. Sufficient conditions are given for the uniqueness of the solution, and an iterational process is provided for the construction of the solution, together with error estimates.
Li. G. Chambers
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Long Memory in a Linear Stochastic Volterra Differential Equation [PDF]
, 2010 In this paper we consider a linear stochastic Volterra equation which has a stationary solution. We show that when the kernel of the fundamental solution is regularly varying at infinity with a log-convex tail integral, then the autocovariance function ...
Appleby, John A. D., Krol, Katja
core +2 more sources
Stability of Volterra system with impulsive effect
International Journal of Stochastic Analysis, Volume 4, Issue 1, Page 83-93, 1991., 1991 Sufficient conditions for uniform stability and uniform asymptotic stability of impulsive integrodifferential equations are investigated by constructing a suitable piecewise continuous Lyapunov‐like functionals without the decresent property. A result which establishes no pulse phenomena in the given system is also discussed.
M. Ramamohana Rao, S. Sivasundaram
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Solutions to a class of nonlinear differential equations of fractional order [PDF]
, 2009 In this paper we investigate the formulation of a class of boundary value problems of fractional order with the Riemann-Liouville fractional derivative and integral-type boundary conditions.
Kosmatov, Nickolai
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Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces
Alexandria Engineering Journal, 2020 This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space.
H.M. Abu-Donia +2 more
doaj
Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings
Moroccan Journal of Pure and Applied Analysis, 2018 The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
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Weighted norms and Volterra integral equations in LP spaces
International Journal of Stochastic Analysis, Volume 4, Issue 2, Page 161-164, 1991., 1990 A new simple proof of existence and uniqueness of solutions of the Volterra integral equation in Lebesque spaces is given. It is shown that the weighted norm technique and the Banach contraction mapping principle can be applied (as in the case of continuous functions space).
Jaroslaw Kwapisz
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