On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order

Nguyen Anh Tuan

Department of Mathematics, College of Education, 280 Duong Vuong, Ho Chi Minh City, Vietnam

E-mail. nguyenanhtuan@hcmup.edu.vn

New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by a method of a priori estimates.

AMSclassification. 34A15, 34B10.

Keywords. Boundary value problem with functional condition, differential equation of $n$-th order, method of a priori estimates, differential inequalities.