This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which h...This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions.展开更多
The authors firstly evaluate the strain accumulation rate of the Xianshuihe fault zone based on earthquake activity. We calculated the stress and seismic moment accumulation rate for each subsection of the Xianshuihe ...The authors firstly evaluate the strain accumulation rate of the Xianshuihe fault zone based on earthquake activity. We calculated the stress and seismic moment accumulation rate for each subsection of the Xianshuihe fault zone based on the distribution of geological slip rate and GPS survey results. According to the results, we get the recurrence intervals of characterized earthquakes on each subsection respectively. A three-dimensional finite element model for western Sichuan is constructed to discuss the earthquakes triggering among major earthquakes ({ntM}>6.7) that occurred along the Xianshuihe fault zone since 1893. The calculated Coulomb failure stress changes (?CFS) show that 5 of the 6 earthquakes with Ms>6.7 were triggered by positive ?CFS. The interactions between major earthquakes not only influence recurrence intervals of characterized earthquakes on each subsection, but also change recurrence behavior of major earthquakes along the whole fault zone.展开更多
文摘This paper is concerned with a singular second-order nonlinear boundary value problem with a time depending on derivative operator and posed on the positive half-line. The nonlinearity is derivative-dependent, which has singularities at t=0 and/or x=0, and may change sign. The method of the upper and lower solutions on unbounded domains combined with the topological degree theory are employed to prove the existence and multiplicity of solutions.
基金the Ministry of Science and Technology of China (Grant No. 2004CB418406)the "Basic Science Research Plan" of the Institute of Earth-quake Science, China Earthquake Administration (Grant No. 2007-03)
文摘The authors firstly evaluate the strain accumulation rate of the Xianshuihe fault zone based on earthquake activity. We calculated the stress and seismic moment accumulation rate for each subsection of the Xianshuihe fault zone based on the distribution of geological slip rate and GPS survey results. According to the results, we get the recurrence intervals of characterized earthquakes on each subsection respectively. A three-dimensional finite element model for western Sichuan is constructed to discuss the earthquakes triggering among major earthquakes ({ntM}>6.7) that occurred along the Xianshuihe fault zone since 1893. The calculated Coulomb failure stress changes (?CFS) show that 5 of the 6 earthquakes with Ms>6.7 were triggered by positive ?CFS. The interactions between major earthquakes not only influence recurrence intervals of characterized earthquakes on each subsection, but also change recurrence behavior of major earthquakes along the whole fault zone.
