Mukhigulashvili, Sulkhan
(2016)
*The mixed BVP for second order nonlinear ordinary differential equation at resonance.*
Mathematische Nachrichten.

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mana.v2...

## Abstract

Efficient sufficient conditions are established for the solvability of the mixed problem $$ u''(t)=p(t)u(t)+ f(t,u(t))+h(t), \qquad \;\;\;\; u(a)=0,\quad u'(b)=0, $$ where $h,p\in L([a,b];R)~ \text{and}~ f\in K([a,b]\times R;R),$ in the case where the homogeneous linear problem $ w''(t)=p(t)w(t), \;\; w(a)=0,\;\; w'(b)=0 $ has nontrivial solutions.

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics > Applied Mathematics |

Depositing User: | პროფესორი სულხან მუხიგულაშვილი |

Date Deposited: | 21 Oct 2016 13:03 |

Last Modified: | 25 Apr 2017 13:15 |

URI: | http://eprints.iliauni.edu.ge/id/eprint/5690 |

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