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In this article, we study the comparison principle and long-time behaviour of the solutions for a coupled system of semilinear periodic parabolic equations with discrete time delays and non-local boundary conditions. A new comparison principle is obtained for such a coupled system, which extends...
In this article, we introduce and consider a general system of variational inequalities. Using the projection technique, we suggest and analyse new iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild...
The article considers a problem of inverse option pricing aimed at the identification of a not directly observable time-dependent volatility function from maturity-dependent option prices. In this situation, an important aspect is the calibration of the antiderivative of the squared volatility....
In this article, we study weakly coupled systems of elliptic equations without Hamiltonian structure in both bounded domain and the whole space. By using a priori estimates, Pohozaev identity and degree theory, we are able to show the existence of positive solutions.
This article deals with the index of Fredholm complexes of Λ-operators of the Hilbert Λ-modulus on C *-algebra. For this class of operators necessary and sufficient conditions in order to be a Fredholm, are obtained. Based on these results, a notion of Fredholm complex and its index is...
In this article, we consider Benjamin-Bona-Mahony equation with a time delay. By using the Liapunov function method, we show that the time-delayed Benjamin-Bona-Mahony equation is exponentially decay if the delay parameter is sufficiently small.
Linear systems of porous-thermo-elasticity including a memory term in one dimension are studied. We establish an exponential and polynomial decay results.
In this article, equations of thermoelasticity of type III in three-dimensional cylindrical domain are studied. We prove a Phragm n - Lindel f alternative result, i.e. the smooth solutions either grow or decay exponentially as the distance from the entry section tends to infinity. In the decay...
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