Description

• Title:
  On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation
• Creator:
  Yang, Congmin;
  Wang, Zaihong
• Description:
  In this paper, we study the existence of periodic solutions for a Liénard type $\phi$-Laplacian equation $$ (\phi(x'))'+f(x)x'+g(x)=p(t). $$ We prove a continuation lemma and use it to prove the existence of periodic solutions for above equation when $g$ or $G$ (the primitive of $g$) satisfies some one-sided or bilateral growth conditions and $F$ (the primitive of $f$) satisfies sublinear condition.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Congmin Yang, Zaihong Wang;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.09.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 1 (September 2023); 219 - 237;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/46311/36559 ;https://apcz.umk.pl/TMNA/article/view/46311/36560
• Subject:
  $\phi$-Laplacian equation;
  periodic solution;
  continuation lemma;
  Primary 34C25;
  Secondary 34C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/46311
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other