Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems
Let G and f:[0,1]×ℝ4→ℝ be two functions satisfying Caratheodory conditions. This paper is concerned with the problems of existence and uniqueness of solutions for the nonlinear fourth-order ordinary differential equation y′′′′+λy′′+ky+G(x,y,y′,y′′,y′′′)=f(x,y,y′,y′′,y′′′) with one of a particular se...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200003057 |
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| _version_ | 1832561868025102336 |
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| author | Ruyun Ma |
| author_facet | Ruyun Ma |
| author_sort | Ruyun Ma |
| collection | DOAJ |
| description | Let G and f:[0,1]×ℝ4→ℝ be two functions satisfying Caratheodory conditions. This paper is
concerned with the problems of existence and uniqueness of
solutions for the nonlinear fourth-order ordinary differential
equation y′′′′+λy′′+ky+G(x,y,y′,y′′,y′′′)=f(x,y,y′,y′′,y′′′) with one of a particular set of boundary
conditions. |
| format | Article |
| id | doaj-art-b04ccb493a4e4031a2393561e9ccd9ec |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b04ccb493a4e4031a2393561e9ccd9ec2025-02-03T01:24:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231178378810.1155/S0161171200003057Existence and uniqueness theorems for some fourth-order nonlinear boundary value problemsRuyun Ma0Department of Mathematics, Northwest Normal University, Gansu, Lanzhou 730070, ChinaLet G and f:[0,1]×ℝ4→ℝ be two functions satisfying Caratheodory conditions. This paper is concerned with the problems of existence and uniqueness of solutions for the nonlinear fourth-order ordinary differential equation y′′′′+λy′′+ky+G(x,y,y′,y′′,y′′′)=f(x,y,y′,y′′,y′′′) with one of a particular set of boundary conditions.http://dx.doi.org/10.1155/S0161171200003057Fourth-order BVPsolutionLeray-Schauder fixed point theoremhomogeneous nonlinearity. |
| spellingShingle | Ruyun Ma Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems International Journal of Mathematics and Mathematical Sciences Fourth-order BVP solution Leray-Schauder fixed point theorem homogeneous nonlinearity. |
| title | Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems |
| title_full | Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems |
| title_fullStr | Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems |
| title_full_unstemmed | Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems |
| title_short | Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems |
| title_sort | existence and uniqueness theorems for some fourth order nonlinear boundary value problems |
| topic | Fourth-order BVP solution Leray-Schauder fixed point theorem homogeneous nonlinearity. |
| url | http://dx.doi.org/10.1155/S0161171200003057 |
| work_keys_str_mv | AT ruyunma existenceanduniquenesstheoremsforsomefourthordernonlinearboundaryvalueproblems |