Geodesic
General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations
Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 435-445

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MR Zbl
New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
DOI : 10.21136/MB.2008.140631
Classification : 34K06, 34K10, 35K05
Keywords: functional differential equation; Cauchy problem; initial value problem; differential inequality 
Dilna, N.; Rontó, A. General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations. Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 435-445. doi: 10.21136/MB.2008.140631
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