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An existence-uniqueness theorem for a class of boundary value problems

Mokhtarzadeh, M. R ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. Publisher: 2012
  3. Abstract:
  4. In this paper the solutions of a two-endpoint boundary value problem is studied and under suitable assumptions the existence and uniqueness of a solution is proved. As a consequence, a condition to guarantee the existence of at least one periodic solution for a class of Liénard equations is presented
  5. Keywords:
  6. Banach space ; Liénard equation ; Nonlinear boundary value problem ; Periodic solution ; Schauder's fixed point theorem
  7. Source: Fixed Point Theory ; Volume 13, Issue 2 , 2012 , Pages 589-592 ; 15835022 (ISSN)
  8. URL: http://math.ipm.ac.ir/~pournaki/Main%20Files/1-Papers/Accepted-4/34-dif/dif-j.pdf