Three positive solutions for -Laplacian functional dynamic equations on time scales.
Three remarks on the use of Čebyšev polynomials for solving equations of the second kind
Three-Hilbert-space formulation of quantum mechanics.
Time asymptotic description of an abstract Cauchy problem solution and application to transport equation
In this paper, we study the time asymptotic behavior of the solution to an abstract Cauchy problem on Banach spaces without restriction on the initial data. The abstract results are then applied to the study of the time asymptotic behavior of solutions of an one-dimensional transport equation with boundary conditions in -space arising in growing cell populations and originally introduced by M. Rotenberg, J. Theoret. Biol. 103 (1983), 181–199.
Time Dependent Perturbations and Scattering of Strongly Continuous Groups on Banach Spaces.
Time periodic solutions to a nonhomogeneous Dirichlet periodic problem.
Time regularity and functions of the Volterra operator
Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = 1 and . This answers Zemánek’s question on the time regularity property.
Time scale transformation equation.
Time-dependent perturbation theory for abstract evolution equations of second order
A condition on a family of linear operators is given under which the inhomogeneous Cauchy problem for u"(t)=(A+ B(t))u(t) + f(t) for t ∈ [0,T] has a unique solution, where A is a linear operator satisfying the conditions characterizing infinitesimal generators of cosine families except the density of their domains. The result obtained is applied to the partial differential equation in the space of continuous functions on [0,1].
Time-dependent perturbations of abstract Volterra equations
Time-dependent Scattering Theory.
Time-dependent Schrödinger perturbations of transition densities
We construct the fundamental solution of for functions q with a certain integral space-time relative smallness, in particular for those satisfying a relative Kato condition. The resulting transition density is comparable to the Gaussian kernel in finite time, and it is even asymptotically equal to the Gaussian kernel (in small time) under the relative Kato condition. The result is generalized to arbitrary strictly positive and finite time-nonhomogeneous transition densities on measure spaces. We...
Time-frequency analysis of Sjöstrand's class.
We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand's class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand's fundamental results and to far-reaching generalizations.
Time-scale-dependent criteria for the existence of positive solutions to -Laplacian multipoint boundary value problem.
Toeplitz algebras and infinite simple C*-algebras associated with reduced group C*-algebras.
Toeplitz and Hankel forms related to unitary representations of the symplectic plane
Toeplitz C*-algebras on super-Cartan domains.
Toeplitz operators and algebras.
Toeplitz operators associated with the Siegel domains
Toeplitz operators for a certain class of function algebras