On the global solutions to a system of differential-functional equations with nonlinear independent variable deviation, depending on an known function (Q2768793)
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scientific article; zbMATH DE number 1700139
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the global solutions to a system of differential-functional equations with nonlinear independent variable deviation, depending on an known function |
scientific article; zbMATH DE number 1700139 |
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3 February 2002
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global solution
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system of differential-functional equations
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nonlinear independent variable deviation
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existence and uniqueness
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On the global solutions to a system of differential-functional equations with nonlinear independent variable deviation, depending on an known function (English)
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The authors consider the system of differential-functional equations NEWLINE\[NEWLINEx'(t)=Ax(t)+ F(t,x(t),x(f(t,x(t)))),NEWLINE\]NEWLINE with \(t\in \mathbb{R}\), \(A=\text{diag}(A_1,A_2)\), where \(A_1,A_2\) are real matrices and \(F(t,x,y),f(t,x)\) are real continuous functions. Sufficient conditions for the existence of a continuously differentiable, bounded solution to the considered system are obtained, and properties of this solution are studied.
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