“…The differential equations, both ordinary and partial, whose arguments have some shift were studied in a few papers (e.g., [1][2][3][4][5][6][7][8][9][10]). Various authors call such equations functional differential and with delayed (or deviating) argument.…”
mentioning
confidence: 99%
“…Various authors call such equations functional differential and with delayed (or deviating) argument. In this paper the variant of shift from [9,10] is for the first time applied to a system of partial differential equations of the first order.…”
For a system of first-order partial differential equations of a form not studied earlier we consider a variant of Goursat problem and prove the existence and uniqueness of the solution to the problem.
“…The differential equations, both ordinary and partial, whose arguments have some shift were studied in a few papers (e.g., [1][2][3][4][5][6][7][8][9][10]). Various authors call such equations functional differential and with delayed (or deviating) argument.…”
mentioning
confidence: 99%
“…Various authors call such equations functional differential and with delayed (or deviating) argument. In this paper the variant of shift from [9,10] is for the first time applied to a system of partial differential equations of the first order.…”
For a system of first-order partial differential equations of a form not studied earlier we consider a variant of Goursat problem and prove the existence and uniqueness of the solution to the problem.
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