Results 31 to 40 of about 775 (171)

Schauder-Tychonoff fixed point theorem

, 2023
In this paper, we study the schauder-tychonoff fixed point(STFP) on a subset A of a sequentially complete Hausdorff strongly convex topological vector space (SCHSCTVS) E (over the field R) with calibration Γ have a unique STFP in Topological Vector Space(TVS).
openaire   +2 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

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Boundary value problems of fractional q-difference equations on the half-line

Boundary Value Problems, 2019
In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line.
Kuikui Ma, Xinhui Li, Shurong Sun
doaj   +1 more source

A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems

Nonlinear Analysis: Real World Applications
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the product of a conical shell and of a closed convex set.
Infante G., Mascali G., Rodriguez-Lopez J.   +2 more
openaire   +2 more sources

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

A note on the solvability of the nonlinear wave equation

Journal of Numerical Analysis and Approximation Theory, 2004
New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the ...
Radu Precup
doaj   +2 more sources

Existence of Weak Solutions for the Equations of a Non‐Newtonian Fluid With Non‐Standard Growth

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 7, July 2026.
ABSTRACT We consider the equations of a non‐Newtonian incompressible fluid in a general time‐space cylinder ΩT=Ω×(0,T)⊂Rn×R,n≥2$\Omega _{T} = \Omega \times (0,T) \subset \mathbb {R}^{n} \times \mathbb {R}, n \ge 2$. We assume that the rheology of the fluid is changing with respect to time and space, and satisfies, for each (x,t)∈ΩT$(x,t) \in \Omega _{T}
Hyeong‐Ohk Bae, Jörg Wolf
wiley   +1 more source

Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions

Mathematics, 2018
In this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach’s fixed
Thongchai Dumrongpokaphan, Nichaphat Patanarapeelert, Thanin Sitthiwirattham   +2 more
doaj   +1 more source

Simple normal crossing Kähler–Einstein metrics and RCD spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We show that Kähler–Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define Riemannian Curvature Dimension (RCD) spaces, both in the compact setting and in certain non‐compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non‐compact 4‐manifolds
Martin de Borbon, Cristiano Spotti
wiley   +1 more source