Boundary value problems for first order differential equations of mixed type

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 9, 2006, Pages 1984-1997

  Jankowski, Tadeusz ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Convergence; Differential equations with boundary conditions; Differential inequalities; Extremal solutions; Monotone method; Unique solution

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS; DIFFERENTIAL INEQUALITIES; EXTREMAL SOLUTIONS; MONOTONE METHOD; UNIQUE SOLUTION;

BOUNDARY VALUE PROBLEMS;

EID: 33344462671     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.07.033     Document Type: Article

References (13)

1. D. Franco, and J.J. Nieto First order impulsive ordinary differential equations with antiperiodic and nonlinear boundary conditions Nonlinear Anal. 42 2000 163 173
2. D. Franco, J.J. Nieto, and D. O'Regan Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions Appl. Math. Comput. 153 2004 793 802
3. Z. He, and X. He Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions Comput. Math. Appl. 48 2004 73 84
4. T. Jankowski Monotone iterative technique for differential equations with nonlinear boundary conditions Nonlinear Stud. 8 2001 381 388
5. T. Jankowski Ordinary differential equations with nonlinear boundary conditions Georgian Math. J. 9 2002 287 294
6. T. Jankowski Delay integro-differential equations of mixed type in Banach spaces Glas. Mat. Ser. III 37 2002 321 330
7. T. Jankowski Existence of solutions of boundary value problems for differential equations with delayed arguments J. Comput. Appl. Math. 156 2003 239 252
8. T. Jankowski Advanced differential equations with nonlinear boundary conditions J. Math. Anal. Appl. 304 2005 490 503
9. D. Jiang, and J. Wei Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations Nonlinear Anal. 50 2002 885 898
10. G.S. Ladde, V. Lakshmikantham, and A.S. Vatsala Monotone Iterative Techniques for Nonlinear Differential Equations 1985 Pitman Boston
11. J.J. Nieto, and R. Rodríguez-López Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions Comput. Math. Appl. 40 2000 433 442
12. J.J. Nieto, and R. Rodríguez-López Remarks on periodic boundary value problems for functional differential equations J. Comput. Appl. Math. 158 2003 339 353
13. G.-X. Song, and X.-L. Zhu Extremal solutions of periodic boundary value problems for first order integro-differential equations of mixed type J. Math. Anal. Appl. 300 2004 1 11