In this study,we used electromagnetic wave data(H0LiCOW,H(z),SNe)and gravitational wave data(Tianqin)to constrain the interacting dark energy(IDE)model and investigate the Hubble tension and coincidence problems.By co...In this study,we used electromagnetic wave data(H0LiCOW,H(z),SNe)and gravitational wave data(Tianqin)to constrain the interacting dark energy(IDE)model and investigate the Hubble tension and coincidence problems.By combining these four types of data(Tianqin+HQLiCOW+SNe+H(z)),we obtained the following para-meter values with a confidence interval of 1σ:Ω_(m)=0.36+0.18,ω_(x)=-1.29^(+0.61)_(-0.23)+0.61,ξ=3.15^(+0.36)_(-1.1),and H_(0)=70.04+0.42 kms^(-1) Mpc^(-1).According to our results,the best value of Ho shows that the Hubble tension problem can be al-leviated to some extent.In addition,the center value of ξ+3ω_(x)=-0.72_(-1.19)^(2.19)(1σ)indicates that the coincidence problem is slightly alleviated.However,ξ+3ω_(x)=0 is still within the 1σ error range,which indicates that the ACDM model is still the model in best agreement with the observational data at present.Finally,we compared the constraint results of the electromagnetic and gravitational waves on the model parameters and found that the con-straint effect of electromagnetic wave data on model parameters is better than that of simulated Tianqin gravitational wave data.展开更多
The paper deals a fractional functional boundary value problems with integral boundary conditions. Besed on the coincidence degree theory, some existence criteria of solutions at resonance are established.
基金Supported in part by the National Natural Science Foundation of China(12105032,12147102)Jia-Wei Zhang was supported by the Natural Science Foundation of China(12275036)+3 种基金the Natural Science Foundation of Chongqing(cstc2021jcyjmsxmX0681,cstc2018jcyjAX0713,cstc2021jcyj-msxmX0553)the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202001541)the Research Foundation of Chongqing University of Science and Technology(CK2016Z03)This study was also supported by the Graduate Research and Innovation Foundation of Chongqing,China(CYS21327).
文摘In this study,we used electromagnetic wave data(H0LiCOW,H(z),SNe)and gravitational wave data(Tianqin)to constrain the interacting dark energy(IDE)model and investigate the Hubble tension and coincidence problems.By combining these four types of data(Tianqin+HQLiCOW+SNe+H(z)),we obtained the following para-meter values with a confidence interval of 1σ:Ω_(m)=0.36+0.18,ω_(x)=-1.29^(+0.61)_(-0.23)+0.61,ξ=3.15^(+0.36)_(-1.1),and H_(0)=70.04+0.42 kms^(-1) Mpc^(-1).According to our results,the best value of Ho shows that the Hubble tension problem can be al-leviated to some extent.In addition,the center value of ξ+3ω_(x)=-0.72_(-1.19)^(2.19)(1σ)indicates that the coincidence problem is slightly alleviated.However,ξ+3ω_(x)=0 is still within the 1σ error range,which indicates that the ACDM model is still the model in best agreement with the observational data at present.Finally,we compared the constraint results of the electromagnetic and gravitational waves on the model parameters and found that the con-straint effect of electromagnetic wave data on model parameters is better than that of simulated Tianqin gravitational wave data.
基金Supported by the Fundamental Research Funds for the Central Universities
文摘The paper deals a fractional functional boundary value problems with integral boundary conditions. Besed on the coincidence degree theory, some existence criteria of solutions at resonance are established.