Existence and positivity of solutions for a nonlinear periodic differential equation

Ernest Yankson

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 4, page 261-270
  • ISSN: 0044-8753

Abstract

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We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.

How to cite

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Yankson, Ernest. "Existence and positivity of solutions for a nonlinear periodic differential equation." Archivum Mathematicum 048.4 (2012): 261-270. <http://eudml.org/doc/251422>.

@article{Yankson2012,
abstract = {We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.},
author = {Yankson, Ernest},
journal = {Archivum Mathematicum},
keywords = {fixed point; large contraction; periodic solution; positive solution; fixed point; large contraction; periodic solution; positive solution},
language = {eng},
number = {4},
pages = {261-270},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Existence and positivity of solutions for a nonlinear periodic differential equation},
url = {http://eudml.org/doc/251422},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Yankson, Ernest
TI - Existence and positivity of solutions for a nonlinear periodic differential equation
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 4
SP - 261
EP - 270
AB - We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.
LA - eng
KW - fixed point; large contraction; periodic solution; positive solution; fixed point; large contraction; periodic solution; positive solution
UR - http://eudml.org/doc/251422
ER -

References

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  2. Burton, T. A., 10.1016/S0893-9659(97)00138-9, Appl. Math. Lett. 11 (1998), 85–88. (1998) Zbl1127.47318MR1490385DOI10.1016/S0893-9659(97)00138-9
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