Some Properties of Third-Order Differential Equations with Mixed Arguments

Abstract EN

We offer a new comparison the principle for deducing properties of third-order differential equations with mixed arguments, (r(t)[x'(t)]γ)′′+q(t)f(x(τ(t)))+p(t)h(x(σ(t)))=0, from those of the corresponding differential equations, without deviating arguments.

The presented technique permits to extend immediately the results known for an equation without deviating arguments to a more general equation with advanced and delay arguments.