Existence results for \(m\)th-order impulsive functional differential inclusions
This paper is concerned with the existence of solutions for the following \(m\)th-order impulsive functional differential inclusions \[ u^{(m)}(t)\in F(t,u_{t}), \;t\in [0,T], \;t\not=t_{k}, \;k=1,\dots,p, \] \[ \delta u^{(i)}(t_{k})=I_{ik}(u(t_{k})), \;i=0,1,\dots,m-1, \;k=1,\dots,p, \] \[ u(t)=\phi(t), \;t\in [-r,0], \;u'(0)=\eta. \] The proof of the main results are based upon appropriate fixed point theorems.
scientific article; zbMATH DE number 5982440
scientific article