Solvability for a nonlinear three-point boundary value problem withp-Laplacian-like operator at resonance
نویسندگان
چکیده
منابع مشابه
SOLVABILITY FOR A NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN-LIKE OPERATOR AT RESONANCE
Let φ be an odd increasing homeomorphism from R onto R which satisfies φ(0)= 0 and let f : [a,b]×R×R → R be a function satisfying Carathéodory conditions. Separated two-point and periodic boundary value problems containing the nonlinear operator (φ(u′))′, or its more particular form, the so-called p-Laplace operator, have received a lot of attention lately (cf. [6, 7, 8, 14, 15] and the referen...
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*Correspondence: [email protected] College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, P.R. China Abstract By generalizing the extension of the continuous theorem of Ge and Ren and constructing suitable Banach spaces and operators, we investigate the existence of solutions for p-Laplacian boundary value problems at resonance. An example is given ...
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In this article, we consider the multi-point boundary-value problem for nonlinear fractional differential equations with p-Laplacian operator: D 0+ φp(D α 0+ u(t)) = f(t, u(t), Dα−2 0+ u(t), Dα−1 0+ u(t), D 0+ u(t)), t ∈ (0, 1), u(0) = u′(0) = D 0+ u(0) = 0, Dα−1 0+ u(1) = m X i=1 σiD α−1 0+ u(ηi), where 2 < α ≤ 3, 0 < β ≤ 1, 3 < α+β ≤ 4, Pm i=1 σi = 1, D α 0+ is the standard Riemann-Liouville ...
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Differential equation with fractional order have recently proved valuable tools in the modeling of many phenomena in various fields of science and engineering [1-5]. Recently, many researchers paid attention to existence result of solution of the boundary value problems for fractional differential equations at nonresonance, see for examples [6-15]. But, there are few papers which consider the b...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2001
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337501000550