Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.
Pandit, Sudhakar G. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Pandit, Sudhakar G. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Guo, Dajun (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Dhage, Bapurao C. (2006)
Applied Mathematics E-Notes [electronic only]
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Guo, Dajun (1994)
Journal of Applied Mathematics and Stochastic Analysis
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S. Carl, S. Heikkilä (1999)
Annales Polonici Mathematici
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We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
Haribhau L. Tidke, Machindra B. Dhakne (2012)
Applications of Mathematics
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The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Cui, Yujun, Zhang, Xingqiu (2010)
Fixed Point Theory and Applications [electronic only]
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Xian, Xu, O'Regan, Donal (2006)
Journal of Inequalities and Applications [electronic only]
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