This is the first of two chapters concerning linear systems and equations. We have already established the unique existence of solutions to initial value problems concerning them. However, because of… Expand

Abstract In this note we study the zeros of solutions of differential equations of the form u′′+pu=0. A criterion for oscillation is found, and some sharper forms of the Sturm comparison theorem are… Expand

1. K. M. Das, Singularity-free regions for solutions of 2nd order non-linear dzfferential equations, J. Math. Mech. 13 (1964), 73-84. 2. P. Hartman, Ordinary differential equations, Wiley, New York,… Expand

We consider initial boundary value problems for certain nonlinear scalar parabolic equations. A formula for the unique classical solution by Hopf-Cole transformations is obtained and the asymptotic… Expand

This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational… Expand

There exist a sufficient condition for the existence of at least one periodic solution for a type of second order autonomous ordinary differential equations. The correctness of the condition has been… Expand