This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C0-semigroup of ω-order preserving partial contraction mapping (ω-OCPn) in semigroup of linear operator. The p...This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C0-semigroup of ω-order preserving partial contraction mapping (ω-OCPn) in semigroup of linear operator. The purpose of this paper is to establish some dissipative properties on ω-OCPn which have been obtained in the various theorems (research results) and were proved.展开更多
In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and gener...In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.展开更多
The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive m...The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, these results are utilized to study the Cauchy problem for a kind of differential inclusions with accretive mappings in probabilistic normed spaces.展开更多
This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω-order preserving partial contraction mapping (ω-OCPn) are obtained. The results show ...This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω-order preserving partial contraction mapping (ω-OCPn) are obtained. The results show that operators on the proposed ω-OCPn are densely defined and closed. Several existing results in the literature are contained in this work.展开更多
讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x)... 讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x), 0 x 1(1) 证明了该系统产生一个发展系统.展开更多
文摘This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C0-semigroup of ω-order preserving partial contraction mapping (ω-OCPn) in semigroup of linear operator. The purpose of this paper is to establish some dissipative properties on ω-OCPn which have been obtained in the various theorems (research results) and were proved.
文摘In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.
文摘The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, these results are utilized to study the Cauchy problem for a kind of differential inclusions with accretive mappings in probabilistic normed spaces.
文摘This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω-order preserving partial contraction mapping (ω-OCPn) are obtained. The results show that operators on the proposed ω-OCPn are densely defined and closed. Several existing results in the literature are contained in this work.
文摘 讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x), 0 x 1(1) 证明了该系统产生一个发展系统.
