Results 1 to 10 of about 293 (71)
Fractal and Fractional, 2022 This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (κ,ϕ)-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C([1,T]
Vijai Kumar Pathak +3 more
doaj +1 more source
Decay mild solutions of the nonlocal Cauchy problem for second order evolution equations with memory [PDF]
, 2016 Our aim in this paper is to find out decay mild solutions of the nonlocal Cauchy problem for a class of second order evolution equations with memory. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence ...
Luong, Vu Trong
core +8 more sources
Singular spaces, groupoids and metrics of positive scalar curvature [PDF]
, 2018 We define and study, under suitable assumptions, the fundamental class, the index class and the rho class of a spin Dirac operator on the regular part of a spin stratified pseudomanifold.
Piazza, Paolo, Zenobi, Vito Felice
core +2 more sources
Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations [PDF]
, 2019 We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the
Gabeleh M., Moshokoa S. P., Vetro C.
core +1 more source
Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
doaj +1 more source
Mass deformed world-sheet action of semi-local vortices [PDF]
, 2013 The mass deformed effective world-sheet theory of semi local vortices was constructed via the field theoretical method. By Euler-Lagrangian equations, the Ansatze for both the gauge field and the adjoint scalar were solved, this ensures that zero modes ...
Jiang, Yunguo
core +2 more sources
The ergodic theory of hyperbolic groups [PDF]
, 2012 These notes are a self-contained introduction to the use of dynamical and probabilistic methods in the study of hyperbolic groups. Most of this material is standard; however some of the proofs given are new, and some results are proved in greater ...
Calegari, Danny
core +3 more sources
The degree of nondensifiability of linear bounded operators and its applications
Applied General TopologyIn the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application
Gonzalo García, Gaspar Mora
doaj +1 more source
Characterization of Fr��chet Spaces and Application to Hausdorff MNC
, 2020 In this short note, we give a characterization of Fr chet spaces via properties of their metric. This allows us to prove that the Hausdorff measure of noncompactness (MNC), defined over Fr chet spaces, is indeed an MNC. As first applications, we lift well-known fixed-point theorems for contractive and condensing operators to the setting of Fr chet ...
openaire +2 more sources
On the moduli space of semilocal strings and lumps
, 2007 We study BPS non-abelian semilocal vortices in U(Nc) gauge theory with Nf flavors, Nf > Nc, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix formalism.
A. A. Abrikosov +12 more
core +1 more source