arXiv subjects

Tanweer Jalal

Publications and source records attributed to Tanweer Jalal.

4 recordsLinked to original sources

arXiv2018

Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces

In this paper the concept of measure of noncompactness is applied to prove the existence of solution for a boundary value problem for an infinite system of second order differential equations in $\ell_{p}$ space. We change the boundary value problem into an equivalent system of infinite integral equations and obtain the result for the system of integral equations, using Darbo type fixed point theorem. The result is applied to an example to illustrate the concept.

math.FA↗

arXiv2018

Measures of Noncompactness in $\bar{N}(p,q)$ Summable Sequence Spaces

In this paper we first define the $\bar{N}(p,q)$ summable sequence spaces and obtain some basic results related to these spaces. The necessary and sufficient conditions for infinite matrices $A$ to map these spaces on $X~~,~~X=c_0, c \text{ or } \ell_{\infty}$ is obtained and Hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of linear operators defined on these spaces.

math.FA↗

arXiv2018

Measures of Noncompactness in $\left(\bar{N}_{Δ^{-}}^{q}\right)$ Summable Difference Sequence Spaces

In the given paper we first introduce $\bar{N}_{Δ^{-}}^{q}$ summable difference sequence spaces and prove some properties of these spaces. We then obtain the necessary and sufficient conditions for infinite matrices $A$ to map these sequence spaces on the spaces $c_0, c$ and $\ell_\infty$, the Hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of the linear operators defined on these spaces.

math.FA↗

arXiv2018

I-convergent triple difference sequence spaces defined by a sequence of modulus function

The main objective of this paper is to introduce classes of $I$-convergent triple difference sequence spaces, $c_{0I}^{3}(Δ,\digamma)$, $c_{I}^{3}(Δ,\digamma)$, $\ell_{\infty I}^{3}(Δ,\digamma)$, $M_{I}^{3}(Δ,\digamma)$ and $M_{0I}^{3}(Δ,\digamma)$, by using sequence of modulii function $\digamma=(f_{pqr})$. We also study some algebraic and topological properties of these new sequence spaces.

math.FA↗