论文信息 - SOLVABILITY OF HIGHER INDEX TIME-VARYING LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS

SOLVABILITY OF HIGHER INDEX TIME-VARYING LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS

Abstract Linear differential-algebraic equations (DAEs) with time-varying coefficients A(t)x′(t) + B(t)x(t) = q(t), which are tractable with a higher index, are discussed. Their essential properties are investigated. Some equivalent systems are given. Using them the paper shows how to state properly initial and boundary conditions for these DAEs. The existence and uniqueness theory of the solution of the initial and boundary value problems for higher index DAEs are proposed.

Yongzhong Song | Yongzhong Song

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