Publication Cover
Applicable Analysis
An International Journal
Volume 63, 1996 - Issue 3-4
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Original Articles

Order reduction for periodic boundary value problems of discontinuous third-order differential equations

Pages 353-362 | Received 01 Aug 1996, Published online: 02 May 2007

  • Aftabizadeh , A.R. , Huang , Y.K. and Pavel , N.H. 1995 . Nonlinear Third-Order Differential Equations with Anti-Periodic Boundary Conditions and Some Optimal Control Problems . J. Math. Anal. Appl. , 192 : 266 – 293 .
  • Aftabizadeh , A.R. , Xu , J. and Gupta , C.P. 1990 . Periodic Boundary Value Problems for Third-Order Ordinary differential Equations . Nonlinear Anal. , 14 : 1 – 10 .
  • Afuwape , A.U. , Omari , P. and Zanolin , F. 1989 . Nonlinear Perturbations of Differential Operators with Nontrivial Kernel and Applications to Third-Order Periodic Boundary Value Problems . J. Math. Anal. Appl. , 143 : 35 – 56 .
  • Cabada , A. 1994 . The Method of Lower and Upper solutions for Second, Third, Fourth and Higher Order Boundary Value Problems . J. Math. Anal. Appl. , 185 : 302 – 320 .
  • Cabadai A. The method of Lower and Upper solutions for Third-Order Periodic Boundary Value Problems J. Math. Anal. Appl. (to appear).
  • Erbe , L.H. and Guo , D. 1992 . Periodic Boundary Value Problems for Second Order Integrodifferential Equations of Mixed Type . Appl. Anal. , 46 : 249 – 258 .
  • Gregus , M. 1987 . Third Order Linear Differential Equations , Dordrecht : Reidel .
  • Hu , S. and Lakshmikantham , V. 1986 . Periodic Boundary Value Problem for Second Order Integro-Differential Equations of Volterra Type . Appl. Anal. , 21 : 199 – 205 .
  • Liz , E. and Nieto , J.J. 1994 . Periodic Boundary Value Problem for Integro-Differential Equations with General Kernel . Dynam. Syst. Appl. , 3 : 297 – 304 .
  • Nieto , J.J. 1992 . “ Periodic Solutions for Third Order Nonlinear Ordinary Differential Equations ” . In Recent Trends in Differential Equations , 463 – 470 . Singapore : World Scientific .
  • Nieto , J.J. 1995 . Periodic Boundary Value Problems for Second Order Integro-Ordinary Differential Equation with General Kernel and Carathéodory Nonlinearities . Int. J. Math. Math. Sci. , 18 : 757 – 764 .

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