On the semigroups of age-size dependent population dynamcis with spatial diffusion.
On the semilinear integro-differential nonlocal Cauchy problem
In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem , x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations
We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.
On The Set Of Operators Having A Given Simply Connected Spectral Set.
On the shape of solutions to some variational problems
On the Sharpness of Non-Optimal Approximation for Semigroup Operators.
On the shift operators.
On the singlevaluedness and differentiation of metric projections
On the singular continuous spectrum of self-adjoint extensions.
On the singular numbers for some integral operators.
Two-sided estimates of Schatten-von Neumann norms for weighted Volterra integral operators are established. Analogous problems for some potential-type operators defined on Rn are solved.
On the singular spectrum of discrete Schrödinger operator
On the singular values and eigenvalues of the Fox-Li and related operators.
On the singularities of solutions of partial differential equations with constant coefficients
On the Size of Balls Covered by Analytic Transformations.
On the solution and applications of generalized equations using Newton's method
We provide local and semilocal convergence results for Newton's method when used to solve generalized equations. Using Lipschitz as well as center-Lipschitz conditions on the operators involved instead of just Lipschitz conditions we show that our Newton-Kantorovich hypotheses are weaker than earlier sufficient conditions for the convergence of Newton's method. In the semilocal case we provide finer error bounds and a better information on the location of the solution. In the local case we can provide...
On the solution -dimensional of the product operator and diamond Bessel operator.
On the solution of a class of equations with monotone operators by iteration and projection-iteration
On the solution of homogeneous functional equations in Hilbert space
On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space.
On the solution set of a two point boundary value problem.