We study the oscillatory behavior of solution to second order nonlinear differential equations with a sub-linear neutral term $$ \big(a(t)[(x(t)+p(t)x^{\alpha}(\tau(t)))']^{\gamma}\big)'+q(t)x^{\beta}(\sigma(t))=0, \quad t\geq t_0>0. A new criterion is established that improves related results reported in literature. Moreover, some examples are provided illustrate main results.

The Hawking--Page phase transitions of the $d$-dimensional Schwarzschild and charged black holes are explored in a cavity. transition temperature $T_{\rm HP}$, minimum hole $T_0$, Gibbs free energy $G$ systematically calculated. A dual relation for anti-de Sitter space, HP}(d)=T_0(d+1)$, is found to be also approximately valid cavity case high precision, this can further generalized suitable fo...

mas·hyy saturated soil liquefaction during earthquakes, shnakhthshdhyy phenomenon that many researchers in the past three decades has attracted. more research on the liquefaction of saturated soils has focused mas·hyy the natural soils are rarely composed of clean sands, and mixed with clay or silt soils, which is why the study has important ghyrkhmyry and paste. despite numerous studies on the...

in the present paper we introduce and study the notion of pairwise weakly lindelof bitopological spaces and obtain some results. further, we also study the pairwise weakly lindelof subspaces and subsets, and investigate some of their properties. it was proved that a pairwise weakly lindelof property is not a hereditary property.

A central problem in algebraic complexity, posed by J. Edmonds [16], asks to decide if the span of a given l-tuple W=(W1,…,Wl) N×N complex matrices contains non-singular matrix. In this paper, we provide quiver invariant theoretic approach problem. Viewing W as representation l-Kronecker Kl, Edmonds' can be rephrased asking there exists semi-invariant on space (CN×N)l weight (1,?1) that does no...

We introduce strong separation axioms in bitopological spaces. We also introduce the notion of strong pairwise compactness.

We call a module M , quasi-catenary if for each pair of quasi-prime submodules K and L of M with K L all saturated chains of quasi-prime submodules of M from K to L have a common finite length. We show that any homomorphic image of a quasi-catenary module is quasi-catenary. We prove that if M   is a module with following properties: (i) Every quasi-prime submodule of M has finite quasi-height;...

By using the notion of m-spaces, we establish the unified theory for several variations of separation axioms quasi T0, quasi T1 and quasi T2 in bitopological spaces.

We consider the spectrum of BPS saturated states in N = 2 gauge theories in four dimensions. This spectrum may be discontinuous across real codimension one submanifolds of marginal stability in the moduli space of vacua. An example, which can be treated with semiclassical methods in the weak coupling limit, is the decay of quark-soliton bound states. For a quark and a soliton of electric-magnet...