Existence and multiplicity of periodic solutions for a second-order ODE at resonance with an Ahmad–Lazer–Paul condition
In this work, we study the following resonant boundary value problem (1) −u′′(x)=g(x,u(x))+f(x);x∈(0,2π)u(0)=u(2π)u′(0)=u′(2π),where g:[0,2π]×R→Ris continuous and bounded, and f∈L2(0,2π)is assumed to have mean-value zero. Using a variational approach and infinite-dimensional Morse theory, we prove e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-02-01
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| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037422000681 |