A fixed point approach to singular impulsive boundary value problems

Boundary value problems on half‐line for second‐order nonlinear impulsive differential equations

“…Remark Theorems above extend a recent study to impulsive equations. For a related work concerning simpler type impulsive equations, see Akgöl and Zafer …”

“…Recently, a different approach that is based on asymptotic integration method involving principal and nonprincipal solutions 12 is introduced to study a certain class of BVPs on the half-line. 13,14 Motivated by the above results, we will study the existence of solutions of the impulsive BVP on half-line of the form…”

Existence of solutions for impulsive boundary value problems on infinite intervals

“…The method of the paper [2] is different from the other studies in the literature as it relies on principal and nonprincipal solutions. A similar approach was applied in [3] and [7], where a particular case of the impulsive BVP (2) was considered in [3], while [7] dealt with a BVP without impulse effects.…”

“…There are many results in the literature regarding the existence of solutions to impulsive BVPs, e.g. [2,3,[10][11][12]. Below, we mention some recent results about impulsive BVPs on unbounded domains.…”