Bounded Variation Solutions Of Impulsive Measure Differential Equations With Infinite Delay And Continuous Dependence Of Solutions On Parameters

In this dissertation,by using the theories of Kurzweil-Henstock integral and generalized ordinary differential equations,the bounded variation solutions of impulsive measure differential equations with infinite delay y（t）=y（t₀）+integral from n=t₀ to t f（y_s,s）dg（s） are obtained by using the relation that the delayed measure functional differential equations y（t）=y（t₀）+integral from n=t₀ to t f（y_s,s）dg（s）+integral from n=t₀ to t p（s）du（s）+sum t₀≤t_k<t I_k（y（t_k）） and the perturbed delayed impulse measure functional differential equations y（t）=y（t₀）+integral from n=t₀ to t L（y_s,s）dμ（s）+integral from n=t₀ to t f（s）dμ（s）+sum t₀≤t_k<t（I_k（y（t_k））） are equivalent to the generalized ordinary differential equations.Secondly,by using the equivalent relation between the infinite delay linear measure functional differential equation and the generalized linear differential equation,combined with the continuous dependence of the solution of the generalized linear differential equations on the parameters,the continuous dependence theorem of the solutions of the infinite delay impulsive measure differential equations on the parameters is obtained.