On a class of multitime evolution equations with nonlocal initial conditions.
On a Class of Retarded Partial Differential Equations.
On a Class of Time Inhomogeneous Nonsingular Flows and Schrödinger Operators.
On a Class of Unilateral Evolution Problems.
On a nonlinear degenerate evolution equation with strong damping.
On a regularizing effect of Schrödinger type groups
On necessary and sufficient conditions for stabilization of the solutions of the Cauchy problem for systems of non-stationary equations of non- classical type
On stable solutions of quasilinear periodic-parabolic problems
On the asymptotic behavior of solutions of linear parabolic equations in space
On the boundness of the Stokes semigroup in two-dimensional exterior domains.
On the Cauchy problem for linear PDEs with retarded arguments at derivatives
We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.
On the derivation of the modified equation for the analysis of linear numerical methods
On the discretization of a partial differential equation in the neighborhood of a periodic orbit.
On the discretization of degenerate sweeping processes.
On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem
On the Korteweg-De Vries Equation.
On the method of least squares on the boundary
On the operator related to Bessel heat equation.
On the quasiuniqueness of solutions of degenerate equations in Hilbert space.
On the semigroups of age-size dependent population dynamcis with spatial diffusion.