In this paper, we extend the theory of Ricci flows satisfying a Type-I scalar curvature bound at finite-time singularity. [2], Bamler showed that rescaling procedure will produce singular shrinking gradient soliton with singularities codimension 4. We prove entropy conjugate heat kernel based time converges to soliton, and use characterize set flow solution in terms density function. This gener...

In this article, the convergence of the often used iterative softthresholding algorithm for the solution of linear operator equations in infinite dimensional Hilbert spaces is analyzed in detail. As main result we show that the algorithm converges with linear rate as soon as the underlying operator satisfies the so-called finite basis injectivity property. This result quantifies the experience ...

here‎, ‎we aim to develop a new algorithm for solving a multiobjective linear programming problem‎. ‎the algorithm is to obtain a solution which approximately meets the decision maker's preferences‎. ‎it is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution‎. ‎numerical examples and a simulation study are used to...

the natural vibrations of clamped annular isotropic sector plates are analyzed using the extended kantorovich method (ekm). a conformal mapping is used to transform a sector with identified geometry to a rectangular plate which the solution is available in literature and solved by dalaei and kerr [1] using ekm. the developed iterative scheme converges very rapidly to the final result. the obtai...

Based on Lyapunov finite-time stability theory and backstepping strategy, we put forward a novel fixed-time bounded H infinity tracking control scheme for single-joint manipulator system with input saturation. The main objective is to maintain that the output variable tracks desired signal at fixed time. advantages of this paper are settling time error converging origin independent initial cond...

We consider the problem of sampling \unlabelled structures", i.e., sampling combi-natorial structures modulo a group of symmetries. The main tool which has been used for this sampling problem is Burnside's lemma. In situations where a signiicant proportion of the structures have no non-trivial symmetries, it is already fairly well understood how to apply this tool. More generally, it is possibl...

In this paper, we study the asymptotics of the degree sequence of permutation graphs associated with a sequence of random permutations. The limiting finite-dimensional distributions of the degree proportions are established using results from graph and permutation limit theories. In particular, we show that for a uniform random permutation, the joint distribution of the degree proportions of th...

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

We consider fourth order singularly perturbed boundary value problems (BVPs) in one-dimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem’s boundary conditions are suitable for writing the BVP as a second order system, then we construct an hp FEM on the so-called Spectral Boundary Layer Mesh that gives a robust approximation...