Two‐point boundary value problems at resonance

    Inara Yermachenko Info
DOI: https://doi.org/10.3846/1392-6292.2009.14.247-257

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 solutions

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

Share

Published in Issue
June 30, 2009
Abstract Views
507
PDF Downloads
334

License

Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

View article in other formats

  • PDF

CrossMark check

CrossMark logo

Published

2009-06-30

Issue

Vol 14 No 2 (2009)

Section

Articles

Copyright

Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons 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

Share