Existence of Closed Solutions of an Equation ẋ = f(t, x), where f′x(t, x) is Weakly Convex or Concave in x

Journal of Mathematical Analysis and Applications

Volumn 229, Issue 2, 1999, Pages 480-500

  Andersen, Kurt Munk ^a   Sandqvist, Allan ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011850703     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6171     Document Type: Article

References (6)

1. K. M. Andersen and A. Sandqvist, "Carathéodory Equations with Convexity," MAT-Report No. 1993-20, Mathematical Institute, Technical University of Denmark, 1993.
2. K. M. Andersen and A. Sandqvist, On the cross-ratio of four solutions of a first order differential equation, J. Differential Equations 108(1) (1994), 89-99.
3. K. M. Andersen and A. Sandqvist, On the characteristic exponent function for a first order ordinary differential equation, Differential Integral Equations 8(1) (1995), 717-728.
4. E. A. Coddington and N. Levinson, "Theory of Ordinary Differential Equations," McGraw-Hill, New York/Toronto/London, 1955.
5. A. Gasull and J. Llibre, Limit cycles for a class of Abel equations, SIAM J. Math. Anal. 21 (1990), 1235-1244.
6. xn(t, x) ≥ 0 (n = 1, 2 or 3), J. Math. Anal. Appl. 159(1) (1991), 127-146.