Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations | Zendy

Mileetka | Zendy

Open Access

Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations

Author(s) -

Mileetka

Publication year - 2009

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2009.29.1.69

Subject(s) - mathematics , uniqueness , cauchy problem , order (exchange) , mathematical analysis , initial value problem , elliptic partial differential equation , partial differential equation , cauchy distribution , finance , economics

The paper is concerned with weak solutions of a generalized Cauchy problem for a nonlinear system of first order differential functional equations. A theorem on the uniqueness of a solution is proved. Nonlinear estimates of the Perron type are assumed. A method of integral functional inequalities is used

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