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Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions

We use a monotone iterative method for second order differential equations with deviating arguments and boundary conditions involving Stieltjes integrals. We establish sufficient conditions which guarantee that such problems have extremal solutions in the corresponding region bounded by lower and upper solutions. We also discuss the situation when problems have coupled quasi-solutions. We illustrate our results by three examples.

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Additional information

Category
Publikacja w czasopiśmie
Type
artykuł w czasopiśmie wyróżnionym w JCR
Language
angielski
Publication year
2012

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