in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...

Context. Some contracting or expanding stars are thought to host a large-scale magnetic field in their radiative interior. By interacting with the contraction-induced flows, such fields may significantly alter rotational history of star. They thus constitute promising way address problem angular momentum transport during rapid phases stellar evolution. Aims. In this work, we aim study interplay...

Abstract In this work we study the Ulam–Hyers stability of a differential equation. Its proof is based on Banach fixed point theorem in some space continuous functions equipped with norm $\|\cdot \|_{\infty }$ ∥ ⋅ ∞ . Moreover, ge...

In this paper, the notion of extended cone \(b\)-metric space is introduced, established structure open ball and defined convergence a sequence. Finally, restructured Banach Kannan contraction theorems without normality condition in new setting.

We establish two Phragmén–Lindelöf theorems for a fully nonlinear elliptic equation. consider dynamical boundary condition that includes both spatial variable and time derivative terms. As term, we non-linear Neumann-type operator with strict monotonicity in the normal direction of on term. Our first result is an equation epigraph $$\mathbb {R}^n$$ . Because assume good structural condition, wh...

In this paper, we try to give a classification of spacelike hypersurfaces the Lorentz-Minkowski space-time E1n+1, whose mean curvature vector field order (k+ 1) is an eigenvector kth linearized operator Lk, for non-negative integer k less than n. The Lk defined as linear part first variation (k + 1)th hypersurface arising from its normal variations. We show that any E1n+1 satisfying condition L...

In this paper, employing the property (E.A), we prove a common fixed theorem for weakly compatible maps using contractive condition in intuitionistic fuzzy metric space.

Vibration reduces the amplitudes of the tendon jerk response and the Hoffmann and stretch reflexes in the muscle exposed to the vibration, yet does not alter the time to task failure when the task involves exerting a submaximal force against a rigid restraint. Because the amplitude of the stretch reflex is greater when a limb acts against a compliant load than a rigid restraint, the purpose was...