In this work, we first introduce the concept of weighted sequence space $m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}, \psi,q)$. Then, we construct a Hausdorff measure of noncompactness on this sequence space. Further
أکثر
In this work, we first introduce the concept of weighted sequence space $m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}, \psi,q)$. Then, we construct a Hausdorff measure of noncompactness on this sequence space. Furthermore, by employing this measure of noncompactness we discuss the solvability of an infinite system of nonlinear third-order differential equations with initial conditions in the weighted sequence space $m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}, \psi,q)$. Eventually, we demonstrate an example to show the usefulness of the obtained result.
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