Solvability of second order linear differential equations in the sequence space n(ϕ) $n(\phi)$

Abstract

Abstract We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.

Keywords

• Measure of noncompactness
• Darbo’s fixed point theorem
• Sequence spaces
• Infinite system of second order differential equations