Results 21 to 30 of about 72 (67)
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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Asymmetric Information in Fads Models [PDF]
Ornstein–Uhlenbeck, Hitsuda representation, Fads models, Asymmetric information, 60G15, 62M07, 45D05, 91B84, C15, C22,
Paolo Guasoni
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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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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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An existence theorem for a Volterra integral equation with deviating arguments
International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 155-162, 1990., 1990 An existence theorem is proved for a nonlinear Volterra integral equation with deviating arguments.
K. Balachandran, S. Ilamaran
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On reachability and controllability for a Volterra integro-dynamic system on time scales [PDF]
The paper studies and relates the notions of reachability and controllability for the Volterra integro-dynamic system on time scales. More specifically, we obtain necessary and sufficient conditions for reachability and controllability.
DOS SANTOS, Iguer Luis Domini +2 more
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On a Volterra Stieltjes integral equation
International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 177-191, 1990., 1990 The paper deals with a study of linear Volterra integral equations involving Lebesgue‐Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed‐point principle. An explicit example is also considered.
P. T. Vaz, S. G. Deo
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Periodic solutions of Volterra integral equations
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 4, Page 781-792, 1988., 1987 Consider the system of equations and Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k. Some important properties of the resolvent function including its uniqueness are obtained in the process. In obtaining periodic solutions of (1) it is necessary that the resolvent of k is integrable in some sense.
M. N. Islam
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