Existence of solutions of boundary value problems for functional differential equations
In this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equations x″(t)+f(t,xt,x′(t))=0, t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=η where f∈C([0,T]×Cr×ℝn,ℝn), h∈Cr, η∈ℝ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000698 |
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| _version_ | 1832562705625513984 |
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| author | S. K. Ntouyas P. Ch. Tsamatos |
| author_facet | S. K. Ntouyas P. Ch. Tsamatos |
| author_sort | S. K. Ntouyas |
| collection | DOAJ |
| description | In this paper, using a simple and classical application of the Leray-Schauder
degree theory, we study the existence of solutions of the following boundary value
problem for functional differential equations
x″(t)+f(t,xt,x′(t))=0, t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=η
where f∈C([0,T]×Cr×ℝn,ℝn), h∈Cr, η∈ℝn and α, β, are real constants. |
| format | Article |
| id | doaj-art-dc6fcbe719f249d0850117a6a982e84d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dc6fcbe719f249d0850117a6a982e84d2025-02-03T01:22:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114350951610.1155/S0161171291000698Existence of solutions of boundary value problems for functional differential equationsS. K. Ntouyas0P. Ch. Tsamatos1University of Ioannina, Department of Mathematics, Ioannina, GreeceUniversity of Ioannina, Department of Mathematics, Ioannina, GreeceIn this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equations x″(t)+f(t,xt,x′(t))=0, t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=η where f∈C([0,T]×Cr×ℝn,ℝn), h∈Cr, η∈ℝn and α, β, are real constants.http://dx.doi.org/10.1155/S0161171291000698boundary value problemfunctional differential equations. |
| spellingShingle | S. K. Ntouyas P. Ch. Tsamatos Existence of solutions of boundary value problems for functional differential equations International Journal of Mathematics and Mathematical Sciences boundary value problem functional differential equations. |
| title | Existence of solutions of boundary value problems for functional differential equations |
| title_full | Existence of solutions of boundary value problems for functional differential equations |
| title_fullStr | Existence of solutions of boundary value problems for functional differential equations |
| title_full_unstemmed | Existence of solutions of boundary value problems for functional differential equations |
| title_short | Existence of solutions of boundary value problems for functional differential equations |
| title_sort | existence of solutions of boundary value problems for functional differential equations |
| topic | boundary value problem functional differential equations. |
| url | http://dx.doi.org/10.1155/S0161171291000698 |
| work_keys_str_mv | AT skntouyas existenceofsolutionsofboundaryvalueproblemsforfunctionaldifferentialequations AT pchtsamatos existenceofsolutionsofboundaryvalueproblemsforfunctionaldifferentialequations |