Publication Cover
Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 12
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Original Articles

Solvability conditions and monotone iterative scheme for boundary-value problems related to nonlinear monotone potential operators

Pages 1931-1938 | Received 22 Jun 2010, Accepted 02 Jul 2010, Published online: 02 Sep 2010

References

  • Fučik , S , Krotochvil , A and Nečas , J . 1975 . Kachanov's method and its application . Rev. Roum. Math. Pures Appl. , 20 : 907 – 916 .
  • Gajewski , H , Greger , K and Zacharias , K . 1974 . Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen , Berlin : Academie-Verlag .
  • Hartman , P and Stampacchia , G . 1966 . On some nonlinear elliptic differential functional equations . Acta Math. , 111 : 271 – 310 .
  • Kachanov , LM . 1974 . Fundamentals of the Theory of Plasticity , Moscow : Mir .
  • Kufner , A and Fučik , S . 1980 . Nonlinear Differential Equations Studies in Applied Mathematics, Vol. 2 , Amsterdam : Elsevier Scientific Publishing Company .
  • Torres , PJ and Zhang , M . 2003 . A monotone iterative scheme for a nonlinear second order equation based on a generalized anti-maximum principle . Math. Nachr. , 251 : 101 – 107 .
  • Showalter , RE . 1997 . Monotone Operators in Banach Space and Nonlinear Differential Equations , Providence, RI : AMC .
  • Zeidler , E . 1990 . Nonlinear Functional Analysis and its Applications: II/B Nonlinear Monotone Operators , New York : Springer .
  • Adams , RA . 1975 . Sobolev Spaces , New York : Academic Press .
  • Hasanov , A and Liu , Z . 2008 . An inverse coefficient problem for a nonlinear parabolic variational inequality . Appl. Math. Lett. , 21 ( 6 ) : 563 – 570 .
  • Hasanov , A . 2000 . Convexity argument for monotone potential operators and its application . Nonlinear Anal.: TMA , 41 : 907 – 919 .
  • Ehrmann , H . 1957 . Uber die existenz der Losungen von Randwertaufgaben bei gewonlichen nichtlinearen differentialgleichungen sweiter ordung . Math. Ann. , 134 : 167 – 194 .
  • Hasanov , A . 2004 . On existence, uniqueness and convergence of approximate solution of boundary value problems related to nonlinear operator Au := −( k (( u′) 2 )′ + g ( u ) . Appl. Math. Comput. , 153 : 659 – 672 .
  • Ladyzhenskaya , OA and Ural'tseva , NN . 1968 . Linear and Nonlinear Elliptic Equations , New York : Academic Press .
  • Pohozaev , SI . 1979 . On an approach to nonlinear equations . Soviet Math. Dokl. , 16 : 912 – 916 .
  • Renardy , M and Rogers , RC . 1993 . An Introduction to Partial Differential Equations , New York : Springer .

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