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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 2
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Original Articles

First order functional differential equations with periodic boundary conditions

B. C. Dhage Kasubai, Gurukul Colony, Ahmedpur 413 515, Latur Dist., Maharashtra, India
&
John R. Graef Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USACorrespondence[email protected]
Pages 205-221 | Received 12 Jun 2006, Published online: 22 Feb 2007

References

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  • Dhage , BC . 2006 . Nonlinear functional boundary value problems in Banach algebras involving Carathéodories. . Kyungpook Mathematical Journal , 46 : 427 – 441 .
  • Dhage , BC . Periodic boundary value problems of first order ordinary Carathéodory and discontinuous differential equations . Computers & Mathematics with Applications , (To appear)
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  • Granas , A , Guenther , RB and Lee , JW . 1991 . Some general existence principles for Carathéodory theory of nonlinear differential equations. . Journal de Mathematiques Pures et Appliquees , 70 : 153 – 196 .
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  • Heikkilä , S and Lakshmikantham , V . 1994 . Monotone Iterative Technique for Nonlinear Discontinuous Differential Equations , Dekker : New York .
  • Ladde , GS , Lakshmikantham , V and Vatsala , AS . 1985 . Monotone Iterative Techniques for Nonlinear Differential Equations , Pitman : New York .
  • Liz , E and Nieto , JJ . 1996 . Periodic boundary value problem for a class of functional differential equations . Journal of Mathematical Analysis and Applications , 200 : 680 – 688 .
  • Nieto , JJ . 2002 . Periodic boundary value problems for first order impulsive ODEs. . Nonlinear Analysis , 51 : 1223 – 1232 .
  • Omari , P and Zanolin , F . 1983 . Remarks on periodic solutions for first order nonlinear differential systems . Bollettino della Unione Matematica Italiana B , 2 : 207 – 218 .

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