Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 7 (1995), 1789-1804.
Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition
In this paper, we establish some existence results for boundary and periodic value problems for systems of nonlinear differential equations with right-hand side satisfying a Berntein-Nagumo growth condition. Hartman's condition ($|f| \le 2k(\langle x,f\rangle + |x'|^2) + K$) is not assumed. This assumption is replaced by one which is automatically satisfied in the scalar case.
Differential Integral Equations, Volume 8, Number 7 (1995), 1789-1804.
First available in Project Euclid: 12 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34B15: Nonlinear boundary value problems
Secondary: 34C25: Periodic solutions 47H15 47N20: Applications to differential and integral equations
Frigon, Marlène. Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition. Differential Integral Equations 8 (1995), no. 7, 1789--1804. https://projecteuclid.org/euclid.die/1368397757