Solutions for m-Point BVP with Sign Changing Nonlinearity
We study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1, u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/976406 |
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| author | Hua Su |
| author_facet | Hua Su |
| author_sort | Hua Su |
| collection | DOAJ |
| description | We study the existence of positive solutions for the following nonlinear m-point boundary value
problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity:
{(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1,
u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−2biu′(ξi), where ϕ:R→R is an increasing homeomorphism and homomorphism and ϕ(0)=0. The nonlinear term f may
change sign. As an application, an example to demonstrate our results is given. The conclusions in this paper essentially extend and improve the known results. |
| format | Article |
| id | doaj-art-ff36e608297d427b9fc8618269e12144 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ff36e608297d427b9fc8618269e121442025-02-03T01:24:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/976406976406Solutions for m-Point BVP with Sign Changing NonlinearityHua Su0School of Statistics and Mathematic, Shandong University of Finance, Jinan, Shandong 250014, ChinaWe study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1, u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−2biu′(ξi), where ϕ:R→R is an increasing homeomorphism and homomorphism and ϕ(0)=0. The nonlinear term f may change sign. As an application, an example to demonstrate our results is given. The conclusions in this paper essentially extend and improve the known results.http://dx.doi.org/10.1155/2009/976406 |
| spellingShingle | Hua Su Solutions for m-Point BVP with Sign Changing Nonlinearity Discrete Dynamics in Nature and Society |
| title | Solutions for m-Point BVP with Sign Changing Nonlinearity |
| title_full | Solutions for m-Point BVP with Sign Changing Nonlinearity |
| title_fullStr | Solutions for m-Point BVP with Sign Changing Nonlinearity |
| title_full_unstemmed | Solutions for m-Point BVP with Sign Changing Nonlinearity |
| title_short | Solutions for m-Point BVP with Sign Changing Nonlinearity |
| title_sort | solutions for m point bvp with sign changing nonlinearity |
| url | http://dx.doi.org/10.1155/2009/976406 |
| work_keys_str_mv | AT huasu solutionsformpointbvpwithsignchangingnonlinearity |