Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Cabada, Alberto ^a   Vivero, Dolores R ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

Dynamic equations in time scales; Lower and upper solutions; Nonlinear boundary value problems

Indexed keywords

FUNCTIONS; ITERATIVE METHODS;

NONLINEAR BOUNDARY VALUE PROBLEMS; NONLINEAR FUNCTIONAL BOUNDARY VALUE;

BOUNDARY VALUE PROBLEMS;

EID: 28044472263     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.12.026     Document Type: Conference Paper

References (13)

1. R.P. Agarwal, M. Bohner, and A. Peterson Inequalities on time scales a survey Math. Inequal. Appl. 4 4 2001 535 557
2. R.P. Agarwal, M. Bohner, D. O'Regan, and A. Peterson Dynamic equations on time scales a survey. Dynamic equations on time scales J. Comput. Appl. Math. 141 1-2 2002 1 26
3. R.P. Agarwal, A. Cabada, and V. Otero-Espinar Existence and uniqueness results for nth order nonlinear difference equations in presence of lower and upper solutions Arch. Inequal. Appl. 1 3-4 2003 421 431
4. R.P. Agarwal, A. Cabada, V. Otero-Espinar, S. Dontha, Existence and uniqueness of solutions for anti-periodic difference equations, Arch. Inequal. Appl., to appear.
5. F. Atici, D.C. Biles, First order dynamic inclusions on time scales, preprint.
6. M. Bohner, and A. Peterson Dynamic Equations on Time Scales. An Introduction with Applications 2001 Birkhäuser Boston, Inc. Boston, MA
7. M. Bohner, and A. Peterson Advances in Dynamic Equations on Time Scales 2003 Birkhäuser Boston, Inc. Boston, MA
8. A. Cabada, The method of lower and upper solutions for periodic and anti-periodic difference equations, Electr. Trans. Numer. Anal., to appear.
9. D. Franco, J.J. Nieto, and D. O'Regan Anti-periodic boundary value problem for nonlinear first order ordinary differential equations Math. Inequal. Appl. 6 3 2003 477 485
10. D. Franco, J.J. Nieto, and D. O'Regan Existence of solutions of first order ordinary differential equations with nonlinear boundary conditions Appl. Math. Comput. 153 3 2004 793 802
11. S. Heikkilä, and V. Lakshmikantham Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations 1994 Marcel Dekker New York
12. S. Hilger, Ein maßkettenkalkül mit anwendung auf zentrumsmannigfaltigkeiten, Ph.D. Thesis, Universität Würzburg, 1988.
13. T. Jankowski Ordinary differential equations with nonlinear boundary conditions Georgian Math. J. 9 2 2002 287 294