Results 11 to 20 of about 65 (65)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 39, Page 2049-2063, 2004., 2004 A new fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher‐order three‐point boundary value problem for the differential equation subject to a class ofboundary value conditions. The associated Green′s function is given. Some results obtained recently are generalized.
Yuji Liu, Weigao Ge
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Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
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Positive solutions of some nonlocal boundary value problems
Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1047-1060, 2003., 2003 We establish the existence of positive solutions of some m‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub‐ or superlinear.
Gennaro Infante, J. R. L. Webb
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International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 181-187, 2002., 2002 In the studies of acoustic waveguides in ocean, buckling of columns with variable cross sections in applied elasticity, transverse vibrations in nonhomogeneous strings, etc., we encounter a new class of problems of the type L1y1≡−y1′′+q1(x)y1=λy1 defined on an interval [d1, d2] and L2y2≡−y2′′+q2(x)y2=λy2 defined on the interval [d2, d3] satisfying ...
M. Venkatesulu, Pallav Kumar Baruah
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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On the existence of solution of a two‐point boundary value problem in a cylindrical floating zone
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 10, Page 669-677, 2001., 2001 Existence of one solution for a two‐point boundary value problem with a positive parameter Q arising in the study of surface‐tension‐induced flows of a liquid metal or semiconductor is studied. On the basis of the upper‐lower solution method and Schauder′s fixed point theorem, it is proved that the problem admits a solution when 0 ≤ Q ≤ 12.683.
Shi Yongdong, Du Liangsheng
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Solvability of a multi‐point boundary value problem of Neumann type
Abstract and Applied Analysis, Volume 4, Issue 2, Page 71-81, 1999., 1999 Let f : [0, 1] × ℝ2 → ℝ be a function satisfying Carathéodory′s conditions and e(t) ∈ L1[0, 1]. Let ξi ∈ (0, 1), ai ∈ ℝ, i = 1, 2, …, m − 2, 0 < ξ1 < ξ2 < ⋯<ξm−2 < 1 be given. This paper is concerned with the problem of existence of a solution for the m‐point boundary value problem x″(t)=f(t,x(t),x′(t))+e(t),010
Chaitan P. Gupta, Sergei Trofimchuk
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Existence theorems for a second order m‐point boundary value problem at resonance
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 705-710, 1995., 1994 Let f : [0, 1] × R2 → R be function satisfying Caratheodory′s conditions and e(t) ∈ L1[0, 1]. Let η ∈ (0, 1), ξi ∈ (0, 1), ai ≥ 0, i = 1, 2, …, m − 2, with , 0 < ξ1 < ξ2 < …<ξm−2 < 1 be given. This paper is concerned with the problem of existence of a solution for the following boundary value problems Conditions for the existence of a solution for the ...
Chaitan P. Gupta
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Generalized Green′s functions for higher order boundary value matrix differential systems
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 523-535, 1992., 1992 In this paper, a Green′s matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co‐solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well‐posed ...
R. J. Villanueva, L. Jodar
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Open Mathematics, 2016 We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H. +3 more
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