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The Green Function for a Class of Caputo Fractional Differential Equations with a Convection Term
A class of two-point boundary value problem whose highest-order term is a Caputo fractional derivative of order α ∈ (1, 2] with a convection term is...
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Green’s Functions, Positive Solutions, and a Lyapunov Inequality for a Caputo Fractional-Derivative Boundary Value Problem
We consider a nonlinear boundary problem whose highest-order derivative is a Caputo derivative of order α with 1 < α < 2. Properties of its...
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Semilinear Elliptic Systems with Dependence on the Gradient
We provide results on the existence, non-existence, multiplicity, and localization of positive radial solutions for semilinear elliptic systems with...
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Nontrivial Solutions of Systems of Hammerstein Integral Equations with First Derivative Dependence
By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions...
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Multiple Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations on the Half-line
In this paper, we study a boundary value problem for a coupled differential system of fractional order on the half-line. The differential operator is...
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Positive Solutions for an Impulsive Second-Order Nonlinear Boundary Value Problem
By using the Leggett–Williams fixed point theorem, we prove the existence of three positive solutions for a second-order nonlinear ordinary...
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Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
In this article, we consider a nonlinear higher-order m -point fractional boundary-value problem with integral boundary conditions. We establish...
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Existence and global asymptotic behavior of positive solutions for superlinear fractional dirichlet problems on the half-line
Using estimates on the Green function and a perturbation argument, we prove the existence and uniqueness of a positive continuous solution to...
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Existence of Positive Solutions for Second-Order Impulsive Boundary Value Problems on Time Scales
In this paper, by using Leray–Schauder fixed-point theorem, Avery–Henderson fixed-point theorem and Leggett–Williams fixed-point theorem,...
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A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions
We consider the existence of at least one positive solution to a semipositone boundary value problem with nonlocal, nonlinear boundary conditions,...
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Multiple positive solutions of nonlinear fractional differential equations with integral boundary value conditions
In this paper, we consider the multiplicity of positive solutions for a class of nonlinear boundary-value problem of fractional differential...
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Eigenvalues for iterative systems of Sturm-Liouville fractional order two-point boundary value problems
In this paper, we determine the eigenvalue intervals of λ 1 , λ 2 , ..., λ n for which the iterative system of nonlinear Sturm-Liouville fractional...
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Neumann Boundary Value Problems with not Coercive Potential
Existence results of positive solutions for an ordinary Neumann boundary value problem are established. No asymptotic condition on the nonlinear term...
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Singular limit of an energy minimizer arising from dewetting thin film model with van der Waal, born repulsion and surface tension forces
In this paper, we consider a singular elliptic equation modeling steady states of a dewetting thin film model with both van der Waals and Born...
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Positive Solutions for a Higher-Order m-Point Boundary Value Problem
We study the existence of positive solutions for a higher-order nonlinear differential system subject to some m -point boundary conditions. As...
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Multiple solutions for resonant nonlinear periodic equations
We consider a nonlinear periodic problem driven by the scalar p -Laplacian, with an asymptotically ( p −1)-linear nonlinearity. We permit resonance with...
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Fourth-Order p-Laplacian Nonlinear Systems via the Vector Version of Krasnosel’skiĭ’s Fixed Point Theorem
In this paper, existence results for a fourth-order nonlinear system are obtained. Both classical and vector versions of the Krasnosel’skiĭ’s fixed...