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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 9
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Original Articles

On the existence and stability of higher order Dirichlet problems

Pages 1077-1086 | Received 08 Feb 2007, Accepted 30 May 2007, Published online: 04 Oct 2007

References

  • Ekeland , I and Temam , R . 1976 . Convex Analysis and Variational Problems , Amsterdam : North-Holland .
  • Idczak , D and Rogowski , A . 2002 . On a generalization of Krasnoselskii's theorem . Journal of Australian Mathematical Society , 72 : 389 – 394 .
  • Li , L . 2003 . Positive solutions of fourth order periodic boundary value problems . Nonlinear Analysis , 54 : 1069 – 1078 .
  • Mawhin , J . 1987 . Problèmes de Dirichlet Variationnels Non Linéaires , Montreal Les Presses de l'Université de Montréal .
  • Nowakowski , A and Rogowski , A . 2001 . On the new variational principles and duality for periodic solutions of lagrange equations with superlinear nonlinearities . Journal of Mathematical Analysis and Applications , 264 : 168 – 181 .
  • Rockafellar , RT . 1971 . “ Convex integral functionals and duality ” . In Contributions to Nonlinear Functional Analysis , Edited by: Zarantonello , E . 215 – 236 . New York : Academic Press .
  • Rockafellar , RT . 1971 . “ Convex integral functionals and duality ” . In Contributions to Nonlinear Functional Analysis , Edited by: Zarantonello , E . 215 – 236 . New York : Academic Press .
  • Smart , DR . 1974 . Fixed Point Theorems , Cambridge : Cambridge University Press .
  • Verzini , G . 2003 . Bounded solutions to superlinear ODEs: a variational approach . Nonlinearity , 16 : 2013 – 2028 .
  • Walczak , S . 1995 . On the continuous dependance on parameters of solutions of the Dirichlet problem. Part I. Coercive case, Part II. The case of saddle points . Bulletin de la Classe des Sciences de l'Academie Royale de Beligique , 6 : 247 – 273 .
  • Yang , B . 2005 . Positive solutions for the beam equation under certain boundary conditions . Electronic Journal of Differential Equations , : 1 – 18 .
  • Yao , Q . 2005 . Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem . Nonlinear Analysis , 63 : 237 – 246 .

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