Results 11 to 20 of about 535 (71)
Demonstratio Mathematica, 2022 By using the theory of fixed point index and spectral theory of linear operators, we study the existence of positive solutions for Riemann-Liouville fractional differential equations at resonance. Our approach will provide some new ideas for the study of
Wang Youyu, Huang Yue, Li Xianfei
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Solvability for a nonlocal dispersal model governed by time and space integrals
Open Mathematics, 2022 This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved.
Yu Yang-Yang, Wang Fu-Zhang
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A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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Resonant mixed fractional-order p-Laplacian boundary value problem on the half-line
Nonautonomous Dynamical Systems, 2021 This study aims at establishing the solvability of a fractional-order p-Laplacian boundary value problem involving both the left Caputo and right Riemann-Liouville fractional derivatives on the half-line.
Imaga O. F., Iyase S. A., Odekina O. G.
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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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Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Advances in Nonlinear Analysis, 2023 In this article, we study a class of nonlinear fractional Laplace problems with a parameter and superlinear nonlinearity (−Δ)su=λu+f(x,u),inΩ,u=0,inRN\Ω.\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{\left(-\Delta )}^{s}u=\lambda u+f\left(x,u ...
Zhao Leiga, Cai Hongrui, Chen Yutong
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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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Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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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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