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Journal of Mathematical Sciences

, Volume 205, Issue 6, pp 832–847 | Cite as

Quasilinearization of Resonant Boundary-value Problems with Mixed Boundary Conditions

  • N. SveikateEmail author
  • F. SadyrbaevEmail author
Article
  • 27 Downloads

We consider resonant problems of the form (i) x″ + p(t)x′ + q(t)x = f(t, x, x′), (ii) x′(0) = 0, x(T) = 0, where p, q, and f are continuous functions, and a homogeneous problem (iii) x″ + p(t)x′ + q(t)x = 0 with the boundary conditions (ii), which has a nontrivial solution. The problem is studied by modifying the linear part and applying the procedure of quasilinearization to the modified problem.

Keywords

Cauchy Problem Linear Part Trivial Solution Multiple Solution Homogeneous Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Daugavpils UniversityDaugavpilsLatvia
  2. 2.University of LatviaRigaLatvia

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