2003•Journal of Qufu Normal UniversityRequires access

QUADRATIC INTEGRABILITY AND BOUNDENESS OF SOLUTIONS ABOUT A CLASS OF SECOND ORDER TIME LAG DIFFERENTIAL EQUATION

Run Xu

Abstract

The solution of an integral inequality containning lag variable is obtained. Then Consider the second order nolinear differential equation (r(t)x′(t))′+[a(t)+b(t)]x(t)=f[t,x(t),x(φ(t))]. Suppose the solution is existed, two conclusions of the boundness and quadratic integrability of the solution are obtained.

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Key concepts: Mathematics, Quadratic equation, Order (exchange), Class (philosophy), Lag, Mathematical analysis, Differential equation, Variable (mathematics)