Oscillatory and asymptotic behavior of advanced differential equations

Abstract

Abstract In this paper, a class of fourth-order differential equations with advanced type is studied. Applying the generalized Riccati transformation, integral averaging technique and the theory of comparison, a set of new criteria for oscillation or certain asymptotic behavior of solutions of this equations is given. Our results essentially improve and complement some earlier publications. Some examples are presented to demonstrate the main results.

Keywords

• Oscillation
• Nonoscillatory solutions
• Fourth-order
• Advanced differential equations