John R. Graef, Halima Maghmoul, and Toufik Moussaoui
Existence of Solutions to a Generalized Boundary Value Problem on The Half-Line
Dynamic Systems and Applications 33 (2024)  1-11

https://doi.org/10.46719/dsa2024.33.01

ABSTRACT.
The authors study boundary value problems of order 2k for k 2 {1, 2, . . .} on the
half-line and prove the existence of solutions using a minimization principle and the Mountain Pass
Theorem.

AMS (MOS) Subject Classification. 34B40, 34B15, 34B18.
Key Words and Phrases. Critical Point, Unbounded Interval, Minimization Principle, Mountain-
pass Theorem.