On two-point boundary value problems for systems of higher-order ordinary differential equations with singularities | Zendy

И. Т. Кигурадзе | Zendy; G. Tskhovrebadze | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On two-point boundary value problems for systems of higher-order ordinary differential equations with singularities

Author(s) -

И. Т. Кигурадзе,

G. Tskhovrebadze

Publication year - 1994

Publication title -

georgian mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.277

H-Index - 27

eISSN - 1572-9176

pISSN - 1072-947X

DOI - 10.1007/bf02315301

Subject(s) - mathematics , gravitational singularity , ordinary differential equation , boundary value problem , order (exchange) , mathematical analysis , point (geometry) , value (mathematics) , differential equation , geometry , statistics , finance , economics

The sufficient conditions of solvability and unique solvability of the two-point boundary value problems of Valle-Poussin and Cauchy-Niccoletti have been found for a system of ordinary differential equations of the form$$u^{(n)} = f(t,u,u',...,u^{(n - 1)} )$$, where the vector functionf :]a, b[xℝ nl → ℝ l has nonintegrable singularities with respect to the first argument at the pointsa andb.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research