supported by National Natural Science Foundation of China (grant No.41874132);supported by National Natural Science Foundation of China (grant No.11201173);National Natural Science Foundation of China (grant No.11171132,grant No.11571065);Science and Technology Developing Plan of Jilin Province (grant No.20180101220JC);supported by National Basic Research Program of China (grant No.2013CB834100);Jilin DRC (grant No.2017C028-1)。
This paper concerns the controllability of autonomous and nonautonomous nonlinear discrete systems,in which linear parts might admit certain degeneracy.By introducing Fredholm operators and coincidence degree theory,s...
Project supported by the National Basic Research Program of China(Grant No.2013CBA01702);the National Natural Science Foundation of China(Grant Nos.61377016,61575055,10974039,61307072,61308017,and 61405056)
It has been recently demonstrated that negative-index dispersion and mode degeneracy can be achieved by manipulating a spoof-insulator-spoof(SIS) waveguide. In this paper, we propose a new SIS waveguide, which is co...
supported by the National Natural Science Foundation of China(Grant No.11173006);the National Basic Research Program of China(project 973,No.2012CB821804)
We explore the problems of degeneracy and discreteness in the standard cosmological model(ΛCDM). We use the Observational Hubble Data(OHD) and the type Ia supernovae(SNe Ia) data to study this issue. In order t...
Project supported by the National Basic Research Program of China (Grant No. 2007CB613205);the National Natural Science Foundation of China (Grant No. 61078005)
We demonstrate the output characteristic of broadband parametric amplification of incoherent light pulses in a 355-nm pumped degenerate picosecond optical parametric amplification with either saturated or unsaturated ...
Project supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE(No.[2000]26);the 973 Project of the Ministry of Science and Technology of China(No.2006CB805902);the National Natural Science Foundation of China(No.10571072);the Key Laboratory of Symbolic Computation and Knowledge Engineering of the Ministry of Education of China and the 985 Project of Jilin University.
The aim of this paper is to study the continuity of weak solutions for quasilinear degenerate parabolic equations of the form: μt-△φ(μ) = 0 ,where φ ε C1(R^1) is a strictly monotone increasing function. Cle...
Project supported by the 973 Project of the Ministry of Science and Technology of China, the Outstanding Youth Foundation of China (No.10125107);the Department of Mathematics of Jilin University.
The authors study the singular diffusion equationwhere Ω(?)Rn is a bounded domain with appropriately smooth boundary δΩ, ρ(x) = dist(x,δΩ), and prove that if α≥p-1, the equation admits a unique solution subjec...