Existence results for semilinear differential equations with nonlocal and impulsive conditions

Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space

Ludwik Byszewski, V. Lakshmikantham · Applicable Analysis · 1991 · 463 citations

Natural Sciences, Mathematics, Applied Mechanics +14

Existence of solutions for impulsive partial neutral functional differential equations

Eduardo Hernández, Marco Rabello, Hernán R. Henrı́quez · Journal of Mathematical Analysis and Applications · 2006 · 167 citations

Natural Sciences, Mathematics, Differential Equations +8

Nonlocal impulsive problems for nonlinear differential equations in Banach spaces

Jin Liang, James H. Liu, Ti‐Jun Xiao · Mathematical and Computer Modelling · 2008 · 133 citations

Natural Sciences, Mathematics, Applied Mechanics +15

Nonlocal Cauchy problems governed by compact operator families

Jin Liang, James H. Liu, Ti‐Jun Xiao · Nonlinear Analysis · 2004 · 124 citations

Natural Sciences, Mathematics, Differential Equations +12

Existence results for a class of abstract nonlocal Cauchy problems

Sergiu Aizicovici, Mark A. McKibben · Nonlinear Analysis · 2000 · 114 citations

Natural Sciences, Mathematics, Dynamical Systems +11