Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions | Zendy

Athanasios A. Pantelous | Zendy; Athanasios D. Karageorgos | Zendy; Grigoris I. Kalogeropoulos | Zendy; Konstantinos G. Arvanitis | Zendy

Open Access

Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions

Author(s) -

Athanasios A. Pantelous,

Athanasios D. Karageorgos,

Grigoris I. Kalogeropoulos,

Konstantinos G. Arvanitis

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/897301

Subject(s) - mathematics , matrix (chemical analysis) , mathematical analysis , coefficient matrix , linear differential equation , class (philosophy) , differential equation , singular solution , order (exchange) , invariant (physics) , eigenvalues and eigenvectors , materials science , physics , finance , quantum mechanics , artificial intelligence , computer science , economics , composite material , mathematical physics

In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions

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