Publication Cover
Applicable Analysis
An International Journal
Volume 22, 1986 - Issue 2
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Original Articles

The existence of maximal and minimal solution of the nonlinear integrodifferential equation in banach space

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Pages 139-147 | Received 26 Feb 1986, Published online: 02 May 2007

References

  • Lakshmikantham , S. W. Du. V. 1982 . Monotone iterative technique for differential equation in Banach Space . J. Math. Anal Appl , 87 : 454 – 459 .
  • Lakshmikantham , V. and Leela , S. 1981 . An introduction to nonlinear differential equations in abstract spaces , England : Fergamon press .
  • Lakshmikantham , V. and Leela , S. 1983 . On the method of upper and lower solutions in abstract cones . Ann polon. Math XLII , : 159 – 164 .
  • Deimling , K. 1977 . Ordinary differential equation in Banach Space Lecture notes , Vol. 596 , Berlin : Springer-Verlag .
  • Morch , H. and Harten , G.F.V. 1982 . On the cauchy problem for ordinary differential equation in Banach Space . Arch.Math , 39 : 153 – 160 .
  • Pachpatte , B. G. Existence theorems for nonlinear integro differential systems with upper and lower solutions , Ane. st.ale.Uni. "Al.I.Cuza" din Iasi Tomul XXX-z,s.la Mate .
  • Shouchuan , HU and Lakshmikantham , V. 1985 . Periodic boundary value problem for integro-differential equation of Volterra type

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