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Nonlinear functional boundary value problems involving the product of two nonlinearities |
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| Authors: | B.C. Dhage M. Kumpulainen |
| Affiliation: | aKasubai, Gurukul Colony, Ahmedpur-413 515, Dist Latur, Maharashtra, India bDepartment of Mathematics, University of Oulu, Oulu, Finland |
| Abstract: | In this work, an existence theorem for the nonlinear quadratic two-point boundary value problems of functional differential equations is proved using a nonlinear alternative of Leray–Schauder type involving the product of two operators in Banach algebras. An example is also given to illustrate the abstract results presented here. |
| Keywords: | Quadratic boundary value problem Existence theorem |
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