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Original Articles

On the solutions of nonlinear third order boundary value problems

Pages 127-136 | Received 03 Sep 2009, Published online: 09 Jun 2011

References

  • Anderson , D.R. and Davis , J.M. 2002 . Multiple solutions and eigenvalues for third‐order right focal boundary value problems . Journal of Mathematical Analysis and Applications, , 267 : 135 – 157 . Doi:10.1006/jmaa.2001.7756
  • Bailey , P. , Shampine , L. and Waltman , P. 1968 . Nonlinear two point boundary value problems. , New York : Academic Press .
  • Bernfeld , S. and Lakshmikantham , V. 1974 . An Introduction to Nonlinear Boundary Value Problems. , New York : Academic Press .
  • Coster , C. and Habets , P. 2006 . Two‐point boundary value problems: lower and upper solutions. , Elsevier Science .
  • Hanan , M. 1961 . Oscillation criteria for third order linear differential equation . Pacific J. Math., , 11 : 919 – 944 .
  • Hartman , P. 1971 . On n‐parameter families and interpolation problems for nonlinear ordinary differential equations . Trans. Amer. Math. Soc., , 154 : 201 – 226 . Doi:10.2307/1995438
  • Kelley , W. and Peterson , A. 2004 . The theory of differential equations. Classical and qualitative. , Pearson Education .
  • Leighton , W. and Nehari , Z. 1961 . On the oscillation of solutions of self‐adjoint linear differential equations of the fourth order . Trans. Amer. Math. Soc., , 89 : 325 – 377 . Doi:10.2307/1993191
  • Rovderova , E. 1995 . On the number of solutions of a third‐order boundary‐value problem . Trans. Amer. Math. Soc., , 347 : 3079 – 3092 . Doi:10.2307/2154772
  • Sadyrbaev , F. 1999 . Multiplicity results for third order two‐point boundary value problems . Proceedings of the University of Latvia. Mathematics. Differential equations, , 616 : 5 – 16 .
  • Vasilyev , N.I. and Klokov , Yu.A. 1978 . Foundations of the theory of boundary value problems for ordinary differential equations. , Riga : Zinatne . (Russian)
  • ESF projekts “Atbalsts Daugavpils Universitātes doktora studiju istenošanai” Vienošanās Nr. 2009/0140/1DP/1.1.2.1.2/09/IPIA/VIAA/015

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