J4 ›› 2012, Vol. 50 ›› Issue (4): 715-716.

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Antiperiodic Boundary Value Problem for a Class of
Evolution Equation in Banach Space

ZHANG Yumei 1, CHENG Yi 2,3, WANG Jinghua2   

  1. 1. College of Humanities &|Information, Changchun University of Technology, Changchun 130122, China;
    2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;
    3. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Online:2012-07-01 Published:2012-09-07
  • Contact: CHENG Yi E-mail:chengyi407@126.com

Abstract:

 We proved the existence and uniqueness of a class of evolution equation in Banach space  using  homotopy methods. We constructed a homotopy equation and made a priori estimate to this equation. Under the definition solution operator conditions, a sufficient condition of existence of solutions was obtained by means of  topological degree method.

Key words: evolution equation, homotopy method, boundary value problem

CLC Number: 

  • O175.14