Results 1 to 10 of about 454 (96)

Estimates for evolutionary partial differential equations in classical function spaces

Forum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach, Madi Yerlanov   +3 more
doaj   +1 more source

On integration with respect to filter

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
This article is devoted to the study of one generalization of the Riemann integral. Namely, in the paper, it was observed that the classical definition of the Riemann integral over a finite segment as a limit of integral sums, when the diameter of the ...
Dmytro Seliutin
doaj   +1 more source

Symmetric Spaces of Measurable Functions: Old and New Advances

Современная математика: Фундаментальные направления, 2020
The article is an extensive review in the theory of symmetric spaces of measurable functions. It contains a number of new (recent) and old (known) results in this field.
M. A. Muratov, B.-Z. A. Rubshtein
doaj   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Return-Time Profiles and Quantitative Recurrence for Uniformly δ-Almost Periodic Vectors

Mathematics
This paper studies quantitative forms of approximate recurrence for bounded linear operators on Banach spaces through the notion of uniformly δ-almost periodic vectors.
Hadi Obaid Alshammari
doaj   +1 more source

Significance of F-Contraction After Proinov’s Fixed-Point Results

Journal of Function Spaces
Wardowski laid out his idea of an F-contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed-point theory, motivating many ...
Naeem Saleem, Shahid Bashir, Ali Althobaiti, Imran Zulfiqar Cheema   +3 more
doaj   +1 more source

Bishop-Phelps Theorem for Normed Cones

پژوهش‌های ریاضی, 2019
Introduction In the last few years there is a growing interest in the theory of quasi-metric spaces and other related structures such as quasi-normed cones and asymmetric normed linear spaces, because such a theory provides an important tool in the study
Ildar Sadeghi, Ali Hassanzadeh
doaj  

Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]

J Evol Equ
Denk R, Roodenburg FB.
europepmc   +1 more source

Higher-order regularity for a structurally damped plate equation on rough domains. [PDF]

Math Ann
Denk R, Roodenburg FB.
europepmc   +1 more source

Modified Z-algorithms for reckoning fixed points with application to nonlinear integral equations. [PDF]

PLoS One
Rehman HU, Hammad HA, Abdalla MEM.
europepmc   +1 more source