Existence and uniqueness of mild solutions of second order semilinear differential equations in Banach space

Abstract

We consider the Cauchy problem for second order semilinear differential equations in Banach space. Sufficient conditions of local and global existence and uniqueness of mild solutions are presented.

Full Text

Article Information

Title	Existence and uniqueness of mild solutions of second order semilinear differential equations in Banach space
Source	Methods Funct. Anal. Topology, Vol. 17 (2011), no. 1, 1-9
MathSciNet	MR2815376
Copyright	The Author(s) 2011 (CC BY-SA)

Authors Information

Ya. V. Gorbatenko
National Technical University of Ukraine (KPI), 37 Peremogy Prosp., Kyiv, 03056, Ukraine

Citation Example

Ya. V. Gorbatenko, Existence and uniqueness of mild solutions of second order semilinear differential equations in Banach space, Methods Funct. Anal. Topology 17 (2011), no. 1, 1-9.

BibTex

@article {MFAT559,
    AUTHOR = {Gorbatenko, Ya. V.},
     TITLE = {Existence and uniqueness of mild solutions of second order semilinear differential equations in Banach space},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {1-9},
      ISSN = {1029-3531},
  MRNUMBER = {MR2815376},
       URL = {http://mfat.imath.kiev.ua/article/?id=559},
}