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Fredholm and Volterra nonlinear possibilistic integral equations [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 Fredholm and Volterra nonlinear possibilistic integral equations In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
Sorin G. Gal, Ionut T. Iancu
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Solvability of Nonlinear Integral Equations of Volterra Type [PDF]
Abstract and Applied Analysis, 2012 This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type.
Liu, Zeqing +2 more
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Admissibility and Nonlinear Volterra Integral Equations [PDF]
Proceedings of the American Mathematical Society, 1970 Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
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On nonlinear scalar Volterra integral equations. I [PDF]
Transactions of the American Mathematical Society, 1985 The scalar nonlinear Volterra integral equation \[ u ( t ) + ∫ 0 t g ( t , s , u ( s ) ) d s = f ( t )
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Numerical solution of multiple nonlinear Volterra integral equations [PDF]
Applied Mathematics and Computation, 2011 29 ...
Belbas, S. A., Bulka, Yuriy
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Attracting Solutions of Nonlinear Volterra Integral Equations
Journal of Integral Equations and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Mariano R., Castillo, Jesús M.F.
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A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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On Solution of Nonlinear Abel–Volterra Integral Equation
Journal of Mathematical Analysis and Applications, 1999 The authors consider the integral equation \[ \varphi^m (x)= \frac{a(x)}{\Gamma (\alpha)}\int_0^x \frac{\varphi (t)}{(x-t)^{1-\alpha}} dt +f (x),\quad ...
Kilbas, Anatoly A., Saigo, Megumi
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Nonlinear Volterra integral equations with positive definite kernels [PDF]
Proceedings of the American Mathematical Society, 1975 Conditions are given for the asymptotic stability of the solution of a nonlinear Volterra integro-differential equation with convolution kernel. These conditions are less restrictive than most of the known ones for this equation.
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Nonconvolution nonlinear integral volterra equations with monotone operators
Computers & Mathematics with Applications, 2005 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
Arias, M.R., Benítez, R., Bolós, V.J.
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