On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems
We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem -(p(x)y′(x))′=q(x)f(x,y,py′) for 0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1. Here p(x)>0 on (0,b) allowing p(0)=0. Further q(x) may be allowed to have integrable discontinuity at x=...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/261963 |
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| _version_ | 1849691552547340288 |
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| author | R. K. Pandey Amit K. Verma |
| author_facet | R. K. Pandey Amit K. Verma |
| author_sort | R. K. Pandey |
| collection | DOAJ |
| description | We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem -(p(x)y′(x))′=q(x)f(x,y,py′) for 0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1. Here p(x)>0 on (0,b) allowing p(0)=0. Further q(x) may be allowed to have integrable discontinuity at x=0, so the problem may be doubly singular. |
| format | Article |
| id | doaj-art-e1c19066c18b443785890493476aa0bf |
| institution | DOAJ |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-e1c19066c18b443785890493476aa0bf2025-08-20T03:20:59ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/261963261963On a Constructive Approach for Derivative-Dependent Singular Boundary Value ProblemsR. K. Pandey0Amit K. Verma1Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, IndiaDepartment of Mathematics, BITS Pilani, Rajasthan, Pilani 333031, IndiaWe present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem -(p(x)y′(x))′=q(x)f(x,y,py′) for 0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1. Here p(x)>0 on (0,b) allowing p(0)=0. Further q(x) may be allowed to have integrable discontinuity at x=0, so the problem may be doubly singular.http://dx.doi.org/10.1155/2011/261963 |
| spellingShingle | R. K. Pandey Amit K. Verma On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems International Journal of Differential Equations |
| title | On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems |
| title_full | On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems |
| title_fullStr | On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems |
| title_full_unstemmed | On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems |
| title_short | On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems |
| title_sort | on a constructive approach for derivative dependent singular boundary value problems |
| url | http://dx.doi.org/10.1155/2011/261963 |
| work_keys_str_mv | AT rkpandey onaconstructiveapproachforderivativedependentsingularboundaryvalueproblems AT amitkverma onaconstructiveapproachforderivativedependentsingularboundaryvalueproblems |