✦ LIBER ✦

Existence results for some fourth-order multi-point boundary value problem

✍ Scribed by Huihui Pang; Weigao Ge

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 419 KB
Volume: 49
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.08.021

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider the following fourth-order multi-point boundary value problem

where nonlinear f is depending on all lower-order derivatives of u. By using the method of upper and lower solutions and Schauder's fixed point theorem, existence result is obtained.

📜 SIMILAR VOLUMES

Existence theorems for some nonlinear fo

Existence theorems for some nonlinear fourth order elliptic boundary value problems

✍ Vasilios Alexiades; Alan R. Elcrat; Philip W. Schaefer 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 510 KB

Existence and multiplicity results for s

Existence and multiplicity results for some three-point boundary value problems

✍ Rahmat Ali Khan; M. Rafique 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 184 KB

Using the method of upper and lower solutions and some degree theory arguments, we establish the existence of at least three solutions of some second-order nonlinear differential equations of the type subject to nonlinear three-point boundary conditions The growth of f with respect to x is allowed

Existence of solutions for some fourth-o

Existence of solutions for some fourth-order boundary value problems with parameters

✍ Yang Yang; Jihui Zhang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 285 KB

In this paper, existence and multiplicity results for solutions are obtained for the fourth-order boundary value problem and λ ∈ R + are parameters. By using the critical point theory and Morse theory, we obtain that if ξ , η satisfy ξ π 4 + η π 2 < 1, then the above BVP has solutions where λ is in

Multiplicity results for some second-ord

Multiplicity results for some second-order four-point boundary-value problems

✍ Zhanbing Bai; Weigao Ge; Yifu Wang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 186 KB

Existence and uniqueness theorems for fo

Existence and uniqueness theorems for fourth-order boundary value problems

✍ A.R. Aftabizadeh 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 303 KB

Higher order multi-point boundary value

Higher order multi-point boundary value problems

✍ John R. Graef; Lingju Kong; Qingkai Kong 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB

Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t ∈ (0, 1), where n ≥ 2 and m ≥ 1 are integers, tj ∈ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .