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Keywords:
boundary problem with functional conditions; differential equations of $n$-th order; method of a priori estimates; differential inequalities
boundary problem with functional conditions; differential equations of $n$-th order; method of a priori estimates; differential inequalities
Summary:
New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by the method of a priori estimates.
References:
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[2] Hartman F.: Ordinary differential equation. John Wiley & Sons, 1964. MR 0171038 | Zbl 0196.10703
[3] Kiguradze I.T.: Kraevye zadachi dlya sistem obyknovennykh differencialnykh uravnenii. Sovremennye problemy matematiki. Noveishie dostizheniya (Itogi nauki i tekhniki, Viniti AM SSSR), Moskva (1987), 3-103.
[4] Půža B.: On one class of solvable boundary value problems for ordinary differential equation of $n$-th problem. Comment. Math. Univ. Carolinae 30 (1989), 565-577. MR 1031873
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