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Solutions of
periodic boundary value problems
R. Aadith, Paras Gupta and Jagan Mohan Jonnalagadda
Vol. 13 (2020), No. 1, 99–107
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Abstract |
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We deal with a resonant boundary value problem involving a second-order differential equation with periodic boundary conditions. First, we modify the problem at resonance and consider an equivalent nonresonant boundary value problem. Next, we obtain sufficient conditions for the existence of solutions of the modified boundary value problem, using fixed-point theory. Consequently, these conditions suffice for the existence of solutions of the original boundary value problem. We demonstrate the applicability of established results through examples. |
Keywords
boundary value problem, resonance, shift, Green's function,
fixed point, existence
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Mathematical Subject Classification 2010
Primary: 34B15
Secondary: 34B27
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Milestones
Received: 21 March 2019
Revised: 5 April 2019
Accepted: 20 September 2019
Published: 4 February 2020
Communicated by Hari Mohan Srivastava
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Authors |
| R. Aadith | |
| Department of Mathematics Birla Institute of Technology and Science Pilani Hyderabad India |
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| Paras Gupta | |
| Department of Mathematics Birla Institute of Technology and Science Pilani Hyderabad India |
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| Jagan Mohan Jonnalagadda | |
| Department of Mathematics Birla Institute of Technology and Science Pilani Hyderabad India |
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