In this work, we present several oscillation criteria for higher-order nonlinear delay differential equation with middle term. Our approach is based on the use of Riccati substitution, integral averaging technique and comparison technique. The symmetry contributes to deciding right way study solutions equations. results unify improve some known equations Some illustrative examples are provided.

Hydraulic fracturing is a phenomenon in which cracks propagate through the porous medium due to high pore fluid pressure. Hydraulic fracturing appears in different engineering disciplines either as a destructive phenomenon or as a useful technique. Modeling of this phenomenon in isothermal condition requires analysis of soil deformation, crack and pore fluid pressure interactions. In this paper...

In this paper, the homotopy Pade technique is presented as an alternative method to derive the analytical solution for nonlinear dynamical system. Illustrative example is used to show the validity and accuracy of the method in solving the nonlinear system. Comparisons are conducted between the analytical approximation and numerical solution. The results obtained here demonstrate that the homoto...

This study presents a generic TITOP (Two-Input Two-Output Port) model of a substructure actuated with embedded piezoelectric materials as actuators (PEAs), previously modeled with the FE technique. This allows intuitive assembly of actuated flexible substructures in large flexible multi-body systems. The modeling technique is applied to an illustrative example of a flexible beam with bonded pie...