Asymptotic analysis of solutions of systems of neutral functional differential equations (Q1195402)

The authors consider a system of neutral differential equations of the form (A) \((d^ m/dt^ m)[x(t)-\lambda x(t- \sigma)]+f(t,x(\rho(t)),y(\theta(t)))=0\), \((d^ m/dt^ m)[y(t)-\mu y(t- \tau)]+g(t,x(\rho(t)),y(\theta(t)))=0\), where \(m,n\geq 1\), \(\lambda\) (\(<1\)), \(\mu\) (\(<1\)), \(\sigma\), \(\tau\) are positive constants. They give sufficient conditions under which the system (A) has nonoscillatory (oscillatory) solutions with prescribed asymptotic behavior.