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Existence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type
Sergey Smirnovsubject
QA299.6-433Pure mathematicsintegral boundary conditionsBanach fixed point theoremBanach fixed-point theoremApplied MathematicsFixed-point theoremthird-order nonlinear boundary value problemsGreen’s functionType (model theory)Mathematical proofRus’s fixed point theoremThird ordersymbols.namesakeexistence and uniqueness of solutionsGreen's functionsymbolsBoundary value problemAnalysisMathematicsdescription
The existence of a unique solution for a third-order boundary value problem with integral condition is proved in several ways. The main tools in the proofs are the Banach fixed point theorem and the Rus’s fixed point theorem. To compare the applicability of the obtained results, some examples are considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-09-01 | Nonlinear Analysis: Modelling and Control |