Periodic solutions to second-order indefinite singular equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474090" target="_blank" >RIV/67985840:_____/17:00474090 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jde.2017.02.044" target="_blank" >http://dx.doi.org/10.1016/j.jde.2017.02.044</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2017.02.044" target="_blank" >10.1016/j.jde.2017.02.044</a>

Result language
angličtina
Original language name
Periodic solutions to second-order indefinite singular equations
Original language description
The efficient conditions guaranteeing the existence of a T-periodic solution to the second order differential equation u...=h(t)g(u) are established in the paper. Here, g is a positive and decreasing function which has a strong singularity at the origin, and the weight hin(R/TZ) is a sign-changing function. The obtained results have the form of relation between the multiplicities of the zeroes of the weight function h and the order of the singularity of the nonlinear term. The approach is based on Leray–Schauder degree theory, proving that no T-periodic solution of a certain homotopy appears on the boundary of an unbounded open set during the deformation to an autonomous problém.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)