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Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems
Published 2011-01-01“…The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fourth-order boundary value problem: 𝑦(4)(𝑡)=𝑓(𝑡,𝑦(𝑡)), 𝑡∈[0,1], 𝑦(0)=𝑦(1)=𝑦(0)=𝑦(1)=0. …”
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Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations
Published 2014-01-01“…By means of a coupled fixed point theorem on ordered sets, some results on the existence and uniqueness of positive solutions are obtained.…”
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Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs
Published 2014-01-01“…The existence and uniqueness of positive solutions for this kind of operator equations and the dependence of solutions on the parameter have been obtained by using the properties of cone and nonlinear analysis methods. …”
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Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations
Published 2017-01-01“…Using generalized metric space, we obtain some relaxed conditions for uniqueness of positive solutions for the mentioned problem by using Perov’s fixed point theorem. …”
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A Brézis–Oswald-Type Result for the Fractional (<i>r</i>, <i>q</i>)-Laplacian Problems and Its Application
Published 2025-06-01“…This study derives the uniqueness of positive solutions to Brézis–Oswald-type problems involving the fractional <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>r</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-Laplacian operator and discontinuous Kirchhoff-type coefficients. …”
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B-TCSR: a co-evolutionary model for multimodal misinformation propagation in hypergraphs
Published 2025-01-01“…Theoretical analysis confirms the existence of a unique global positive solution in random models and establishes sufficient conditions for both misinformation extinction and persistence. …”
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Multistability bifurcation analysis and transmission pathways for the dynamics of the infectious disease-cholera model with microbial expansion inducing the Allee effect in terms o...
Published 2025-04-01“…Through a rigorous analysis, we demonstrate that the stochastic model offers a unique global positive solution. Lyapunov function theory is used to create criteria that ensure the model’s unique erogodic stationary distribution at $$\mathbb {R}_{0}^{s}>1$$ . …”
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