Asymptotic Behavior of the Solutions of Nonhomogeneotjs Differential Equations
نویسنده
چکیده
A(t) is an hX« matrix with complex-valued elements which are measurable and bounded for ¿^0, and p is an «-vector with measurable, complex-valued elements. The norm of a vector (matrix) will be denoted by || -|| and is defined as the sum of the magnitudes of the elements. A vector (matrix) will be called bounded if its norm is bounded on i^O and convergent if its elements tend to finite limits as /—»». We shall denote by X(t) the (nonsingular) fundamental matrix of solutions of the homogeneous equation
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