Lyapunov-type inequalities for fourth-order boundary value problems

AKTAŞ, MUSTAFA; ÇAKMAK, DEVRİM; AHMETOĞLU, ABDULLAH

doi:10.1007/s13398-018-0495-y

Lyapunov-type inequalities for fourth-order boundary value problems

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.113, sa.2, ss.615-625, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 113 Sayı: 2
Basım Tarihi: 2019
Doi Numarası: 10.1007/s13398-018-0495-y
Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.615-625
Anahtar Kelimeler: Lyapunov-type inequalities, Green's functions, Two-point boundary conditions
Gazi Üniversitesi Adresli: Evet

Özet

This paper is concerned with some two-point boundary value problems for fourth-order linear differential equations. Our study is based on the absolute maximums of Green's functions corresponding to two-point boundary value problems. Thus, the best constants of Lyapunov-type inequalities for the problems are proved. To the best of our knowledge, there is no paper dealing with Lyapunov-type inequalities for two-point boundary value problems in this direction. In addition, some applications of the obtained inequalities are given.