Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
Copyright policy )Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
The authors deal with second-order perturbed differential equations of the form \[ [r(t)\psi(x(t))x'(t)]'+p(t)x'(t)+Q(t,x(t))=P(t,x(t),x'(t)). \] Using Riccati transformation and averaging technique, new oscillatory criteria are obtained. Criteria for the asymptotics of the forced equation are also established.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Academia Sinica Taiwan
- University of the West United States
- Florida Institute of Technology United States
Modelling and Simulation, Perturbations of ordinary differential equations, nonlinear, asymptotic behavior, oscillation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, perturbed, Computer Science Applications
Modelling and Simulation, Perturbations of ordinary differential equations, nonlinear, asymptotic behavior, oscillation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, perturbed, Computer Science Applications
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