Second-Order Differential Equation with Multiple Delays: Oscillation Theorems and Applications
Second-Order Differential Equation with Multiple Delays: Oscillation Theorems and Applications
Differential equations of second order appear in physical applications such as fluid dynamics, electromagnetism, acoustic vibrations, and quantum mechanics. In this paper, necessary and sufficient conditions are established of the solutions to second-order half-linear delay differential equations of the form <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><msup><mrow><mfenced open="(" close=")" separators="|"><mrow><mi>ς</mi><mfenced open="(" close=")" separators="|"><mrow><mi>y</mi></mrow></mfenced><msup><mrow><mfenced open="(" …