✦ LIBER ✦

Stochastic nonhomogeneous sturm liouville problems

✍ Scribed by William E. Boyce

Publisher: Elsevier Science
Year: 1966
Tongue: English
Weight: 436 KB
Volume: 282
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(66)90563-1

No coin nor oath required. For personal study only.

✦ Synopsis

Nonhomogeneous boundary value problems of the Sturm-Liouville type having random forcing functions are considered. Estimates for the statistical moments of the response are found in the case that the forcing function is stationary and weakly correlated, thereby extending previous work having to do with stochastic initial value problems. The effect of an arbitrary parameter in the boundary conditions upon the second moment is studied in some detail in two typical problems.

📜 SIMILAR VOLUMES

Nonlinear Sturm-Liouville problems

✍ R.E.L Turner 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 260 KB

Superlinear Sturm-Liouville problems

✍ R.E.L Turner 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 846 KB

Spectral singularities of the nonhomogen

Spectral singularities of the nonhomogeneous Sturm-Liouville equations

✍ M. Adivar; E. Bairamov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 502 KB

Strongly Singular Sturm – Liouville Prob

Strongly Singular Sturm – Liouville Problems

✍ Michel Duhoux 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB

We consider a Sturm -Liouville operator Lu = -(r(t)u ) +p(t)u, where r is a (strictly) positive continuous function on ]a, b[ and p is locally integrable on ]a, b[ . Let r 1 (t) = t a (1/r) ds and choose any c ∈ ]a, b[ . We are interested in the eigenvalue problem Lu = λm(t)u, u(a) = u(b) = 0, and t

Left-Definite Sturm–Liouville Problems

✍ Q. Kong; H. Wu; A. Zettl 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 238 KB

Nonlinear multiparameter Sturm-Liouville

Nonlinear multiparameter Sturm-Liouville problems

✍ Patrick J Browne; B.D Sleeman 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 369 KB