6533b827fe1ef96bd1286f68
RESEARCH PRODUCT
Green’s function and existence of solutions for a third-order three-point boundary value problem
Sergey Smirnovsubject
Pure mathematicsthree-point boundary conditionsValue (computer science)010103 numerical & computational mathematicsFunction (mathematics)Green’s function01 natural sciences010101 applied mathematicsThird ordersymbols.namesakeexistence and uniqueness of solutionsModeling and SimulationGreen's functionsymbolsQA1-939nonlinear boundary value problemsOrder (group theory)Nonlinear boundary value problemBoundary value problemUniqueness0101 mathematicsAnalysisMathematicsMathematicsdescription
The solutions of third-order three-point boundary value problem x‘‘‘ + f(t, x) = 0, t ∈ [a, b], x(a) = x‘(a) = 0, x(b) = kx(η), where η ∈ (a, b), k ∈ R, f ∈ C([a, b] × R, R) and f(t, 0) ≠ 0, are the subject of this investigation. In order to establish existence and uniqueness results for the solutions, attention is focused on applications of the corresponding Green’s function. As an application, also one example is given to illustrate the result. Keywords: Green’s function, nonlinear boundary value problems, three-point boundary conditions, existence and uniqueness of solutions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-02-05 | Mathematical Modelling and Analysis |