On the Kneser problem for two-dimensional differential systems with advanced arguments (Q701417)
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scientific article; zbMATH DE number 1820059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Kneser problem for two-dimensional differential systems with advanced arguments |
scientific article; zbMATH DE number 1820059 |
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On the Kneser problem for two-dimensional differential systems with advanced arguments (English)
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10 December 2002
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Here, the authors consider the problem of finding a solution to the system \[ u_i'(t)= f_i(t,u_1(\tau_{i1}(t)), u_2(\tau_{i2}(t))),\quad i= 1,2, \] satisfying \[ \varphi(u_1(0), u_2(0))= 0,\quad u_1(t)\geq 0,\quad u_2(t)\geq 0\quad\text{for }t\geq 0. \] Sufficient conditions for the solvability of this problem are given.
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Kneser problem
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solution
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solvability
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