Existence of solution of a free boundary problem for reaction-diffusion systems
In this paper, we prove the existence of solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological tissues due to cell influx and proliferation.
G. A. Younes +2 more
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Existence and Stability of a Spike in the Central Component for a Consumer Chain Model [PDF]
We study a three-component consumer chain model which is based on Schnakenberg type kinetics. In this model there is one consumer feeding on the producer and a second consumer feeding on the first consumer.
Winter, M, Wei, J
core +1 more source
The Dirichlet problem for mixed type equation with two lines of degeneracy in a rectangular area
We study the first boundary value problem for the elliptic-hyperbolic type equation with two perpendicular lines of change of type and spectral parameter. We prove the existence and uniqueness of the solution. In the proof of the uniqueness of solution we
Alfira A Gimaltdinova
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The existence of minimal large positive solutions for a class of nonlinear cooperative systems
In this paper we establish the existence of the minimal large positive solution for a general class of nonlinear cooperative systems including the simplest prototype of García-Melián et al. (2016).
López Gómez, Julián +3 more
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Existence of a Generalized Solution for the Fractional Contact Problem
In this paper, we take into consideration the mathematical analysis of time-dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation.
Leila Ait kaki +3 more
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Existence of positive solution of a singular partial differential equation [PDF]
summary:Motivated by Vityuk and Golushkov (2004), using the Schauder Fixed Point Theorem and the Contraction Principle, we consider existence and uniqueness of positive solution of a singular partial fractional differential equation in a Banach space ...
Zhang, Shuqin
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Existence of solution of a distributional problem for a generalized Schrödinger equation
In this article, we prove the existence and uniqueness of the solution of the homogeneous generalized Schrödinger equation of order m in the periodic distributional space P0, where m is an even number not a multiple of four.
Yolanda Santiago Ayala
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Diffusive induced global dynamics and bifurcation in a predator-prey system
In this paper, a diffusive Leslie-type predator-prey model is investigated. The existence of a global positive solution, persistence, stability of the equilibria and Hopf bifurcation are studied respectively.
Nadia N Li
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Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value conditions.
Mohammed Belmekki +2 more
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Existence of global solution for a nonlocal parabolic problem
In this paper, we study a non-local initial boundary-value problem arising in Ohmic heating. By using a dynamical systems approach, some existence and uniqueness results are proved and the existence of a compact attractor is shown.
Abderrahmane El Hachimi +1 more
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