Semiconservative Systems of Integral Equations with Two Kernels | Zendy

N. B. Yengibaryan | Zendy; A. G. Barseghyan | Zendy

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Semiconservative Systems of Integral Equations with Two Kernels

Author(s) -

N. B. Yengibaryan,

A. G. Barseghyan

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/917951

Subject(s) - mathematics , integrable system , homogeneous , matrix (chemical analysis) , mathematical analysis , integral equation , homogeneous differential equation , pure mathematics , differential equation , combinatorics , materials science , composite material , differential algebraic equation , ordinary differential equation

The solvability and the properties of solutions of nonhomogeneous and homogeneous vector integral equation ∫()=()+∞0∫(−)()+0−∞(−)(), where , are × matrix valued functions, ≥1, with nonnegative integrableelements, are considered in one semiconservative (singular) case, where the matrix ∫=∞−∞() is stochastic one and the matrix ∫=∞−∞() is substochastic one. It is shown that in certain conditions the nonhomogeneous equation simultaneously with the corresponding homogeneous one possesses positive solutions

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