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 of solution to a critical equation with variable exponent [PDF]
In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not ...
Bonder, Julián Fernández +2 more
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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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Relaxed commutant lifting: Existence of a unique solution [PDF]
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openaire +2 more sources
Existence of a Solution of a Certain Volterra –Fredholm Integro Differential Equations [PDF]
In this paper, e investigate the existence of global solution for nonlinear mixed Volterra–Fredholm integro differential equation with nonlocal condition in Banach space. Our results depend on Leray –Schauder alternative theorem.
Akram H. Mahmood, Lamyaa H. Sadoon
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Distributional solution concepts for the Euler-Bernoulli beam equation with discontinuous coefficients [PDF]
We study existence and uniqueness of distributional solutions to the differential equation of the Euler-Bernoulli rod with discontinuous coefficients and right-hand side.
Hoermann, Guenther, Oparnica, Ljubica
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Existence of solutions for a host–parasite model
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Milner, Fabio Augusto +1 more
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Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang and the properties of ...
Barnaś, Sylwia
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