Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Guo, Dajun (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.”
Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Existence of solutions for functional antiperiodic boundary value problems.
Jankowski, Tadeusz (2001)
Mathematica Pannonica
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The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions.
Khan, Rahmat Ali (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Initial value problems for integro-differential equations of Volterra type in Banach spaces.
Guo, Dajun (1994)
Journal of Applied Mathematics and Stochastic Analysis
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A note on nonlinear integral equations
Afaf Abou El-Fotouh Saleh Zaghrout, Z. M. M. Aly (1988)
Archivum Mathematicum
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Nonnegative solutions of a class of second order nonlinear differential equations
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.
Iterative methods for generalized von Foerster equations with functional dependence.
Leszczyński, Henryk, Zwierkowski, Piotr (2007)
Journal of Inequalities and Applications [electronic only]
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Functional differential equations
Tadeusz Jankowski (2002)
Czechoslovak Mathematical Journal
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The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.