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Topological results, Rothe’s principle and Leray–Schauder alternative for the fixed point equation in p-vector spaces
The goal of this paper is to establish some general topological results, Rothe’s principle and Leray–Schauder alternative for the fixed point...
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Fractional Evolution Equations with Nonlocal Initial Conditions and Superlinear Growth Nonlinear Terms
We investigate the existence of solutions for a class of fractional evolution equations with nonlocal initial conditions and superlinear growth...
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Nonlinear analysis in p-vector spaces for single-valued 1-set contractive map**s
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued map**s under the framework of p -vector...
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Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications
The paper is devoted to a nonlocal semi-linear elliptic equation in ℝ n arising in various biological and biomedical applications. The Fredholm...
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Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...
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Fixed point theorems and applications in p-vector spaces
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued map**s and compact continuous (single-valued)...
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Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay
We formulate and analyze a general diffusive predator–prey system with predator maturation delay. Global asymptotic stability of the predator-free...
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Global existence and stability results for a time-fractional diffusion equation with variable exponents
This paper aims to study the existence and stability results concerning a fractional partial differential equation with variable exponent source...
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On the Existence of a Solution of a Boundary Value Problem on a Graph for a Nonlinear Equation of the Fourth Order
AbstractA fourth-order nonlinear differential equation on a network that is a model of a system of Euler–Bernoulli rods is considered. Based on the...
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Fractional differential equations of Bagley-Torvik and Langevin type
Nonlinear fractional equations for Caputo differential operators with two fractional orders are studied. One case is a generalization of the...
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Comparison Principle for Non-cooperative Elliptic Systems and Applications
In this paper are given some sufficient conditions for validity of the comparison principle for linear and quasi-linear non-cooperative elliptic...
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Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth
Allee effect in population dynamics has a major impact in suppressing the paradox of enrichment through global bifurcation, and it can generate...
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Mathematical Consolidation and Unification in the 1930s
The 1930s may well be the most difficult decade of the twentieth century to come to terms with. Given what humanity was about to be led into, i.e....
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Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type
In this paper, the author studies the existence and uniqueness of discrete pseudo asymptotically periodic solutions for nonlinear Volterra difference...
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Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with...
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Periodic Solutions of an Indefinite Singular Planar Differential System
We study a planar radially symmetric system with an indefinite singularity. Some efficient conditions guaranteeing the existence of periodic...
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An elementary proof of the Brouwer’s fixed point theorem
We provide an elementary proof of the Brouwer’s fixed point theorem based solely on introductory topological concepts such as compactness and...
