Nodal solutions for a fourth-order two-point boundary value problem
نویسندگان
چکیده
منابع مشابه
Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem
Correspondence: [email protected] School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People’s Republic of China Full list of author information is available at the end of the article Abstract In this article, we give conditions on parameters k, l that the generalized eigenvalue problem x′′′′ + kx′′ + lx = lh(t)x, 0 < t <1, x(0) = x(1) = x′(0) = x′(1) = 0 possesses an inf...
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We consider the fourth-order two-point boundary value problem u′′′′ Mu λh t f u , 0 < t < 1, u 0 u 1 u′ 0 u′ 1 0, where λ ∈ R is a parameter, M ∈ −π4, π4/64 is given constant, h ∈ C 0, 1 , 0,∞ with h t /≡ 0 on any subinterval of 0, 1 , f ∈ C R,R satisfies f u u > 0 for all u/ 0, and limu→−∞f u /u 0, limu→ ∞f u /u f ∞, limu→ 0f u /u f0 for some f ∞, f0 ∈ 0, ∞ . By using disconjugate operator the...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.03.078