Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions
نویسندگان
چکیده
منابع مشابه
Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions
This paper is concerned with the existence of monotone positive solution for the following third-order nonlocal boundary value problem u′′′ (t)+f (t, u (t) , u′ (t)) = 0, 0 < t < 1; u (0) = 0, au′ (0) − bu′′ (0) = α[u], cu′ (1) + du′′ (1) = β[u], where f ∈ C([0, 1] × R+ × R+, R+), α[u] = ∫ 1 0 u(t)dA(t) and β[u] = ∫ 1 0 u(t)dB(t) are linear functionals on C[0, 1] given by Riemann-Stieltjes inte...
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*Correspondence: [email protected] 1College of Science, China Agricultural University, Beijing, 100083, China Full list of author information is available at the end of the article Abstract This paper investigates the existence of concave positive solutions and establishes corresponding iterative schemes for a third-order boundary value problem with Riemann-Stieltjes integral boundary conditions....
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2012
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2012.1.18