MATHEMATICA BOHEMICA, Vol. 132, No. 3, pp. 263-295, 2007

Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators

Jiri Sremr

Jiri Sremr, Institute of Mathematics, Academy of Sciences of the Czech Republic, Zizkova 22, 616 62 Brno, Czech Republic, e-mail: sremr@ipm.cz

Abstract: We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.

Keywords: system of functional differential equations with monotone operators, initial value problem, solvability

Classification (MSC 2000): 34K06, 34K10

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