Abstract : in this paper we study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the non-linear Landau-Lifschitz equation with an additionalâ€¦ (More)

A family of compact and positively invariant sets with uniformly bounded fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the process isâ€¦ (More)

The existence of a pullback exponential attractor being a family of compact and positively invariant sets with a uniform bound on their fractal dimension which at a uniform exponential rate pullbackâ€¦ (More)

In this paper we will introduce a version of exponential attractor for nonautonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariantâ€¦ (More)

The effect of IR luminescence in liquid water was registered. A theory was suggested according to which the bands of IR luminescence are related to the presence of clusters (clathrates) in water. Theâ€¦ (More)

â€“ The following reaction-diffusion system in spatially non-homogeneous almostperiodic media is considered in a bounded domain âŠ‚ R3: âˆ‚tu=AÎµuâˆ’ f (u)+ g, u|âˆ‚ = 0. (1) Hereu= (u1, . . . , u) is anâ€¦ (More)

The paper deals with the easily verifiable necessary conditi of the preservation of the nonnegativity of the solutions of a syst em of parabolic equations in the case of the anomalous diffusion withâ€¦ (More)

In this paper, we study the asymptotic behavior as x1 â†’ +âˆž of solutions of semilinear elliptic equations in quarteror half-spaces, for which the value at x1 = 0 is given. We prove the uniqueness andâ€¦ (More)