Two‐point boundary value problems at resonance
Abstract
Consider two‐point boundary value problems of resonance type x″ +x = f(t, x, x′), x(0) = x(π) = 0. We investigate existence and multiplicity of solutions to such problems by using the quasilinearization process.
First published online: 14 Oct 2010
Keywords:
nonlinear boundary value problems, resonance, quasilinearization, multiple solutionsHow to Cite
Yermachenko, I. (2009). Two‐point boundary value problems at resonance. Mathematical Modelling and Analysis, 14(2), 247-257. https://doi.org/10.3846/1392-6292.2009.14.247-257
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Published
2009-06-30
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Copyright
Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Yermachenko, I. (2009). Two‐point boundary value problems at resonance. Mathematical Modelling and Analysis, 14(2), 247-257. https://doi.org/10.3846/1392-6292.2009.14.247-257