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Original Articles

Multiple solutions of the BVB for two‐dimensional system by extracting linear parts and quasilinearization

Pages 303-312 | Received 01 Oct 2007, Published online: 14 Oct 2010

References

  • Conti , R. 1962 . Equazioni differenziali ordinarie quasilineari con condizioni lineari . Ann. mat. pura ed appl. , 57 : 49 – 61 .
  • Jackson , L. K. and Schrader , K. W. 1967 . Comparison theorems for nonlinear differential equations . J. Differential Equations , 57 : 248 – 255 .
  • Yermachenko , I. and Sadyrbaev , F. 2005 . Quasilinearization and multiple solutions of the Emden‐Fowler type equation . Mathematical Modelling and Analysis (the Baltic Journal) , 10 (1) : 41 – 50 .
  • Yermachenko , I. and Sadyrbaev , F. 2005 . Types of solutions and multiplicity results for two‐point nonlinear boundary value problems . Nonlinear Analysis , 63 : e1725 – e1735 .
  • Yermachenko , I. and Sadyrbaev , F. 2006 . Multiplicity results for two‐point nonlinear boundary value problems . Studies of the University of Žilina (Mathematical series) , 20 (1) : 63 – 72 .
  • Yermachenko , I. and Sadyrbaev , F. 2007 . Multiple solutions for ϕ>‐laplacian equations with the dirichlet boundary conditions . Mathematics. Differential Equations (Univ. of Latvia, Institute of Math. and Comp. Sci.) , 7 : 103 – 119 . http://www.lumii.lv/Pages/LUMI‐2007/Sbornik‐2007‐english.htm
  • The work was advised by prof. F. Sadyrbaev (Institute of Mathematics and Computer Science, University of Latvia).

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