### 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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Khan, Rahmat Ali (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Purnaras, I.K. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Staněk, Svatoslav (1990)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Liang, Jin, Lv, Zhi-Wei (2011)

Advances in Difference Equations [electronic only]

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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.

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.

Jiří Šremr (2007)

Mathematica Bohemica

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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.

Tariboon, Jessada, Sitthiwirattham, Thanin (2010)

Boundary Value Problems [electronic only]

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