The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.  

Precisely describing the formation and evolution rules of coal-rock fracturing crack have great value on reservoir fracturing improvement and highly efficient mining of coal bed methane well. In this paper, a non-linear dynamic method is used to study crack damage evolution behavior of coal-rock fracturing. Considering distribution characteristics of natural cracks in coal-rock, and based on da...

We basis our initial analysis of the arrow time on a relationship between evolution operator quantum system and time-independent density which describes equilibrium state many-particle at temperature $T$. highlight through this identification imaginary temporal component branch-cut complex cosmic form factor with direction in time-parameter flows globally, or time. As novelty, work we calculate...

Background: This article sets up the initial discussion of the evolution of biopharmaceutical innovation in China through the perspective of sectoral innovation system (SIS).Methods: Two data sources including archival documentary data and field interviews were used in this study. Archival documentary data was collected from China Food and Drug Administration (CFDA) and Chinese National Knowled...

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...

objective: the use of drugs with herbal origin is increasing for treatment of gastrointestinal (gi) disorders. rosa damascena (r. damascena) is a well-known plant suggested to have beneficial effect on gi system. in this study, the effect of aqueous fraction of r. damascena on the contractionsofisolated guinea pig ileum was investigated. materials and methods: aqueous fraction of plant was obta...

In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce new type non-linear contraction namely cyclic Meir-Keeler contraction, which is generalization famous Banach contraction. show existence and uniqueness fixed point for Using this result, we propose IFS in literature construction fractals. Furthermore, extend...

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

We investigate the evolution of collisionally merged stars with mass of ∼ 100M⊙ which might be formed in dense star clusters. We assumed that massive stars with several tens M⊙ collide typically after ∼ 1Myr of the formation of the cluster and performed hydrodynamical simulations of several collision events. Our simulations show that after the collisions, merged stars have extended envelopes an...