2011•Journal of Chengdu Textile CollegeRequires access

Stability of Zero Solution of a Special Functional Equation

Lei Jiang

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Abstract

The stability problem of zero solution of a special class of one order functional equation were studied: x'(t)=a(t)x(t)+b(t)x(t-m1)+c(t)x(t-m2),combined with stability of Lyapunov function and constructed proper functional equations,some proper inequalities for solutions of functional equation system were established in order to get the stability conditions of zero solutions of system.

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What this paper is about

The stability problem of zero solution of a special class of one order functional equation were studied: x'(t)=a(t)x(t)+b(t)x(t-m1)+c(t)x(t-m2),combined with stability of Lyapunov function and constructed proper functional equations,some proper inequalities for solutions of functional equation system were established in order to get the stability conditions of zero solutions of system.

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Available abstract

The stability problem of zero solution of a special class of one order functional equation were studied: x'(t)=a(t)x(t)+b(t)x(t-m1)+c(t)x(t-m2),combined with stability of Lyapunov function and constructed proper functional equations,some proper inequalities for solutions of functional equation system were established in order to get the stability conditions of zero solutions of system.

Key concepts: Zero (linguistics), Mathematics, Stability (learning theory), Functional equation, Mathematical analysis, Zero order, Order (exchange), Function (biology)

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