On the spectrum of the analytic generator.
On the spectrum of the operator which is a composition of integration and substitution
Let ϕ: [0,1] → [0,1] be a nondecreasing continuous function such that ϕ(x) > x for all x ∈ (0,1). Let the operator be defined on L₂[0,1]. We prove that has a finite number of nonzero eigenvalues if and only if ϕ(0) > 0 and ϕ(1-ε) = 1 for some 0 < ε < 1. Also, we show that the spectral trace of the operator always equals 1.
On the spectrum of the -biharmonic operator.
On the spectrum of -contracting operators.
On the Spherical Spectrum.
On the splitting methods and the proximal point algorithm for maximal monotone operators.
On the stability analysis of Darboux problem on both bounded and unbounded domains
In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.
On the stability of a fractional-order differential equation with nonlocal initial condition.
On the stability of differentiability of semigroups.
On the Stability of Jungck–Mann, Jungck–Krasnoselskij and Jungck Iteration Processes in Arbitrary Banach Spaces
In this paper, we establish some stability results for the Jungck–Mann, Jungck–Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck–Mann, Jungck–Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
On the stability of nonlinear Feynman-Kac semigroups
On the stability of some fixed point iteration procedures with errors.
On the stability of strongly continuous semigroups of positive operators on
On the stability of the fixed point property in spaces.
On the Stability of the Ritz Procedure for Nonlinear Problems.
On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation.
On the Steps of Convergence of Approximate Eigenvectors in the Rayleigh-Schrödinger Series.
On the Stokes equation with Neumann boundary condition
In this paper, we study the nonstationary Stokes equation with Neumann boundary condition in a bounded or an exterior domain in ℝⁿ, which is the linearized model problem of the free boundary value problem. Mainly, we prove estimates for the semigroup of the Stokes operator. Comparing with the non-slip boundary condition case, we have the better decay estimate for the gradient of the semigroup in the exterior domain case because of the null force at the boundary.
On the strongly damped wave equation and the heat equation with mixed boundary conditions.
On the structure of commuting isometries