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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 4
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Original Articles

Existence and quasilinearization in Hilbert spaces revisited

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Pages 411-419 | Received 10 Dec 2006, Accepted 09 Jan 2007, Published online: 01 May 2007

References

  • Ahmad , B , Nieto , J and Shahzad , N . 2002 . Generalized quasilinearization method for mixed boundary value problems . Applied Mathematics and Computation , 133 : 423 – 429 .
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  • Granas , A and Dugundji , J . 2003 . Fixed Point Theory , Berlin : Springer-Verlag .
  • El-Gebeily , M and O'Regan , D . 2006 . Existence and quasilinearization methods in Hilbert spaces . Journal of Mathematical Analysis and Applications , 324 : 344 – 357 .
  • Krasno'selskij , MA , Lifshits , JA and Sobolev , AV . 1989 . Positive Linear Systems–The Method of Positive Operators , Berlin : Heldermann Verlag . Sigma Series of Applied Mathematics (5)
  • Lakshmikantham , V and Vatsala , A . 1998 . Generalized Quasilinearization for Nonlinear Problems , Dordrecht, Boston, London : MIA, Kluwer .
  • Nieto , JJ . 1997 . Generalized quasilinearization method for a second order ordinary differential equation with dirichet boundary conditions . Proceedings of the American Mathematical Society , 125 : 2599 – 2604 .

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