In this paper, we consider the problem of joint parameter estimation for drift and diffusion coefficients a stochastic McKean–Vlasov equation associated system interacting particles. The analysis is provided in general framework, as both depend on solution law itself. Starting from discrete observations particle over fixed interval [0,T], propose contrast function based pseudo likelihood approa...

We study asymptotically flat stationary solutions of four-dimensional supergravity theories via the associated G/H pseudo-Riemannian non-linear sigma models in three spatial dimensions. The Noether charge C associated to G is shown to satisfy a characteristic equation that determines it as a function of the four-dimensional conserved charges. The matrix C is nilpotent for non-rotating extremal ...

in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p

We consider the Dirac operator on asymptotically static Lorentzian manifolds with an odd-dimensional compact Cauchy surface. prove that if Atiyah-Patodi-Singer boundary conditions are imposed at infinite times then is Fredholm. This generalizes a theorem due to B\"ar-Strohmaier in case of finite times, and we also show corresponding index formula extends setting. Furthermore, demonstrate existe...

We show that every uniformly asymptotically affine circle endomorphism has a uniformly asymptotically conformal extension.

in this paper, we investigate the existence of positive solutions for the ellipticequation $delta^{2},u+c(x)u = lambda f(u)$ on a bounded smooth domain $omega$ of $r^{n}$, $ngeq2$, with navier boundary conditions. we show that there exists an extremal parameter$lambda^{ast}>0$ such that for $lambda< lambda^{ast}$, the above problem has a regular solution butfor $lambda> lambda^{ast}$, the probl...

In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...