In this paper, we study the effect of small Brownian noise on a switching dynamical system which models a first-order DC/DC buck converter. The state vector of this system comprises a continuous component whose dynamics ...

In this article, we obtain several remarks on the qualitative questions such as Picone’s identity, Morse index and Hardy-Rellich type inequality for biharmonic operators.

In this paper, using the compatible theory of differential invariants, a class of exact solutions is obtained for nonhomogeneous quasilinear hyperbolic system of partial differential equations (PDEs) describing rate type ...

By mathematical sciences, we would understand here a broad spectrum of knowledge that encompasses pure mathematics, applied mathematics, statistics, mathematics of OR, computational mathematics, mathematical physics, ...

The paper primarily is concerned with the second-order optimality conditions for minimax problems, where the constraints are described by a set inclusion and a finite number of equalities, and where all the functions ...

We consider the semilinear elliptic problem: ??Hnu??g(?)u(|z|4+t2)1/2=?f(?)u?+h(?)upin ?,u>0in ?,u=0on ??. where ??Hn is an open bounded subset, N?3;0??,0?f,g,h?L?(?). Under assumptions ?,p>0,?>0 small we show that there ...

Let A be an unique factorization domain containing a field k of characteristic zero and let A[X] and A[Y ] be two k-algebras. Let d1 and d2 be two generalized triangular k-derivations of A[X] and A[Y ], respectively. Denote ...

We establish the existence of a non-trivial weak solution to the following singular quasilinear equation with Hardy potential and singular quadratic gradient term: where is a smooth bounded domain, . We show that there ...