Types and criteria of nonoscillatory solutions for some second order
Copyright policy )Types and criteria of nonoscillatory solutions for some second order
The author considers functional differential equations of the form \[ | r(t)[x(t)-cx(t-\tau)]')'+\int^{b}_{a}p(t,\xi)\times [g(t,\xi)]d\sigma (\quad \xi)=0 \] where \(\tau >0\), \(0\leq c0\), and \(r(t)>0\). For both \(\int^{+\infty}ds/r(s)=+\infty\) and \(\int^{+\infty}ds/r(s)<+\infty,\) the author shows that only three nonoscillatory types of solution are possible. Some necessary and sufficient conditions for the existence of various types are given.
- Fudan University China (People's Republic of)
Asymptotic theory of functional-differential equations, functional differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Asymptotic theory of functional-differential equations, functional differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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