AbstractIn this work a unique solvability of a class of mixed type partial differential equations with some unbounded coefficients is proved in R2. The estimates of the weighted norms of the solution u and its partial derivatives ux and uy are derived
We establish a precise estimate of the ultimate bound of solutions to some second order evolution eq...
We study the mixed initial-boundary value problem for a linear hyperbolic system with characteristic...
42 pages. Several typos corrected, added further references, Thm. 1.5 and 1.6 clarified.Internationa...
We consider a class of second order ultraparabolic differential equations with measurable coefficien...
AbstractSufficient conditions for the existence, uniqueness and stability of the bounded (in R) solu...
AbstractExistence, uniqueness, and three sufficient stability criteria will be established for a cla...
summary:We study asymptotic properties of solutions for a system of second differential equations wi...
AbstractIt is well known that the H2-norm and the C0-norm of a function u ∈ H2(Ω) (where Ω ⊂ Rn is a...
In this work we study the following third order differential equation: Ly := y + (q(x, y) + λ)y = ...
AbstractLet A1,B1ϵL(V1K) with A2θ, B2θϵV2 and Qϵ L(V2, H), where V1, V2, H, K are appropriate normed...
summary:The nonimprovable sufficient conditions for the unique solvability of the problem \[ u^{\pri...
We consider the following equation −y 00 + r (x) y 0 + q (x) y = f(x), where the intermediate coeffi...
AbstractWe prove that the existence of a global prime integral leads, in appropriate conditions, to ...
summary:Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the p...
We consider the mixed type equation with the nonlocal boundary condition and the initial condition. ...
We establish a precise estimate of the ultimate bound of solutions to some second order evolution eq...
We study the mixed initial-boundary value problem for a linear hyperbolic system with characteristic...
42 pages. Several typos corrected, added further references, Thm. 1.5 and 1.6 clarified.Internationa...
We consider a class of second order ultraparabolic differential equations with measurable coefficien...
AbstractSufficient conditions for the existence, uniqueness and stability of the bounded (in R) solu...
AbstractExistence, uniqueness, and three sufficient stability criteria will be established for a cla...
summary:We study asymptotic properties of solutions for a system of second differential equations wi...
AbstractIt is well known that the H2-norm and the C0-norm of a function u ∈ H2(Ω) (where Ω ⊂ Rn is a...
In this work we study the following third order differential equation: Ly := y + (q(x, y) + λ)y = ...
AbstractLet A1,B1ϵL(V1K) with A2θ, B2θϵV2 and Qϵ L(V2, H), where V1, V2, H, K are appropriate normed...
summary:The nonimprovable sufficient conditions for the unique solvability of the problem \[ u^{\pri...
We consider the following equation −y 00 + r (x) y 0 + q (x) y = f(x), where the intermediate coeffi...
AbstractWe prove that the existence of a global prime integral leads, in appropriate conditions, to ...
summary:Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the p...
We consider the mixed type equation with the nonlocal boundary condition and the initial condition. ...
We establish a precise estimate of the ultimate bound of solutions to some second order evolution eq...
We study the mixed initial-boundary value problem for a linear hyperbolic system with characteristic...
42 pages. Several typos corrected, added further references, Thm. 1.5 and 1.6 clarified.Internationa...
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