Results 31 to 40 of about 498 (162)

A Coarse Geometric Approach to Graph Layout Problems

Journal of Graph Theory, EarlyView.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang, David Hume, Samuel J. Kelly, Ryan Lam   +3 more
wiley   +1 more source

Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2005
We consider the second-order nonlinear difference equations of the form Δ(rn−1Δxn−1)+pnf(xn−k)=hn. We show that there exists a solution (xn), which possesses the asymptotic behaviour ‖xn−a∑j=0n−1(1/rj)+b‖=o(1), a,b∈ℝ. In this paper, we extend the results
Anna Kisiolek, Ireneusz Kubiaczyk
doaj   +1 more source

Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions

Advances in Difference Equations, 2017
In this paper, we apply the fractional calculus and a suitable fixed point theorem with the measure of noncompactness to give the sufficient conditions of the controllability for a new class of fractional neutral integro-differential evolution systems ...
Jun Du, Wei Jiang, Denghao Pang, Azmat Ullah Khan Niazi   +3 more
doaj   +1 more source

Conformable functional evolution equations with nonlocal conditions in Banach spaces [PDF]

Surveys in Mathematics and its Applications, 2023
In this paper, we study semilinear conformable fractional evolution equations with finite delay subjected to nonlocal initial conditions in an arbitrary Banach space.
Abderrahmane Boukenkoul , Mohamed Ziane
doaj  

Real Interpolation and Measure of Weak Noncompactness

Mathematische Nachrichten, 1995
AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
openaire   +3 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES

Demonstratio Mathematica, 1995
A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
openaire   +2 more sources

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

A Study of Positive Solutions for Semilinear Fractional Measure Driven Functional Differential Equations in Banach Spaces

Mathematics
In this paper, we deal with the delayed measure differential equations with nonlocal conditions via measure of noncompactness in ordered Banach spaces. Combining (β,γk)-resolvent family, regulated functions and fixed point theorem with respect to convex ...
Jing Zhang, Haide Gou
doaj   +1 more source