On the existence of mild solutions for a class of nonlocal quasi-linear differential equations with iterated deviating arguments

Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

“…The approach in Ciprian [13] has been extensively used in the literature concerning the existence and uniqueness of a ‘Lipschitz’ solution for abstract problem with SDA, see, for example, [1–3, 16–18, 31, 32]. A similar regularizing property is used by Rezounenko et al.…”

“…In comparison to the early works [13, 24] and the papers [1–4, 13, 16–18, 21, 22, 23–26, 31, 32], we present several novelties. To begin, we prove the existence and ‘uniqueness of a non-Lipschitz’ solution for Equations (1.1)–(1.2).…”

Almost Periodic Solution to a Non-Instantaneous Impulsive Differential Equation With Deviating Arguments Tanmoy Barman, Duranta Chutia and Rajib Haloi

“…The study of different kinds of solutions to differential equations has been studied by many authors [5,7,8,9,11,12,14]. These kinds of differential equations are particular classes of differential equations where the unknown functions and their derivatives appear in their arguments.…”

Rothe's method for solving semi-linear differential equations with deviating arguments

“…The very familiar hot shower problem is closely related to these differential equations. For an extensive reading on differential equations with deviating arguments, we refer the reader to [8,9,10,12,14,17].…”