This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance{(Φp (x'))' + f(t,x)=0,0 < t < 1,x' (0)=x'(ξ) x(1)=m-3 ∑i=1 βi x(η i),...This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance{(Φp (x'))' + f(t,x)=0,0 < t < 1,x' (0)=x'(ξ) x(1)=m-3 ∑i=1 βi x(η i),where βi∈ R,m-3 ∑i=1 β i=1,0 < η 1 < η 2 < ··· < ηm-3 < 1,m-3 ∑i=1 βiηi=1,0 < ξ < 1.An existence theorem is obtained by using the extension of Mawhin's continuation theorem.Since almost all the multi-point boundary value problem at resonance in previous papers are for the linear operator without p-Laplacian by the use of Mawhin's continuation theorem,our method is new.展开更多
Thickness,width,temperature,and profile are considered as control targets in process control of hot strip finishing rolling. The pre-calculated settings of the model information include rolling force,cooling water flo...Thickness,width,temperature,and profile are considered as control targets in process control of hot strip finishing rolling. The pre-calculated settings of the model information include rolling force,cooling water flow between stands,bending force,and roll shifting position. Without changing the load distribution,the interaction among thread speed,rolling force,rolling power,and cooling water flow between stands is comprehensively considered based on the quantifiable relationship among speed,force,and temperature. This paper proposes a full-length multi-point-setting model that uses the settings of strip head to combine the rolling speed diagram with the target finishing mill delivery temperature( FDT) to achieve the calculation of the control parameters along full length of strip. Traditional models cannot effectively predict rolling force of strip body or the maximum and minimum temperatures of FDT. It is also difficult for traditional models to suppress fluctuations in shape accuracy of full-length strip or improve the shape accuracy of the product. Calculation results show that the proposed full-length multi-point-setting model can provide the control parameters for temperature and rolling-force over full length of strip,predict the risk of rolling exceeding the equipment capability,and improve the shape accuracy and rolling stability of hot-rolled products.展开更多
In October,the national economy continued to maintain the trend of recovery,with employment remaining generally steady,overall consumer prices staying stable,the balance of payments being better than expected,structur...In October,the national economy continued to maintain the trend of recovery,with employment remaining generally steady,overall consumer prices staying stable,the balance of payments being better than expected,structural adjustments being pushed forwards,peoples' livelihoods continuously improving,and the economy being more stable in general.展开更多
文摘This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance{(Φp (x'))' + f(t,x)=0,0 < t < 1,x' (0)=x'(ξ) x(1)=m-3 ∑i=1 βi x(η i),where βi∈ R,m-3 ∑i=1 β i=1,0 < η 1 < η 2 < ··· < ηm-3 < 1,m-3 ∑i=1 βiηi=1,0 < ξ < 1.An existence theorem is obtained by using the extension of Mawhin's continuation theorem.Since almost all the multi-point boundary value problem at resonance in previous papers are for the linear operator without p-Laplacian by the use of Mawhin's continuation theorem,our method is new.
文摘Thickness,width,temperature,and profile are considered as control targets in process control of hot strip finishing rolling. The pre-calculated settings of the model information include rolling force,cooling water flow between stands,bending force,and roll shifting position. Without changing the load distribution,the interaction among thread speed,rolling force,rolling power,and cooling water flow between stands is comprehensively considered based on the quantifiable relationship among speed,force,and temperature. This paper proposes a full-length multi-point-setting model that uses the settings of strip head to combine the rolling speed diagram with the target finishing mill delivery temperature( FDT) to achieve the calculation of the control parameters along full length of strip. Traditional models cannot effectively predict rolling force of strip body or the maximum and minimum temperatures of FDT. It is also difficult for traditional models to suppress fluctuations in shape accuracy of full-length strip or improve the shape accuracy of the product. Calculation results show that the proposed full-length multi-point-setting model can provide the control parameters for temperature and rolling-force over full length of strip,predict the risk of rolling exceeding the equipment capability,and improve the shape accuracy and rolling stability of hot-rolled products.
文摘In October,the national economy continued to maintain the trend of recovery,with employment remaining generally steady,overall consumer prices staying stable,the balance of payments being better than expected,structural adjustments being pushed forwards,peoples' livelihoods continuously improving,and the economy being more stable in general.
