TY - JOUR
A2 - Marino, Giuseppe
AU - Yengibaryan, N. B.
AU - Barseghyan, A. G.
PY - 2011
DA - 2011/07/26
TI - Semiconservative Systems of Integral Equations with Two Kernels
SP - 917951
VL - 2011
AB - The solvability and the properties of solutions of nonhomogeneous and homogeneous vector integral equation f(x)=g(x)+∫0∞k(x−t)f(t)dt+∫−∞0T(x−t)f(t)dt, where K, T are n×n matrix valued functions, n≥1, with nonnegative integrableelements, are considered in one semiconservative (singular) case, where the matrix A=∫−∞∞K(x)dx is stochastic one and the matrix B=∫−∞∞T(x)dx is substochastic one. It is shown that in certain conditions the nonhomogeneous equation simultaneously with the corresponding homogeneous one possesses positive solutions.
SN - 0161-1712
UR - https://doi.org/10.1155/2011/917951
DO - 10.1155/2011/917951
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi Publishing Corporation
KW -
ER -