Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda +3 more
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Twisted ambidexterity in equivariant homotopy theory
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Honeybee mushroom bodies (MBs), sites for learning and memory, house two classes of intrinsic neurons: class I and II Kenyon cells (KCs) that form synaptic complexes with boutons of projection neurons (PNs) from primary sensory neuropils. Dendrites of both KC classes were restricted to distinct unimodal MB compartments.
Andrea Rafaela Nicolaidou +3 more
wiley +1 more source
Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]
The sequence spaces c(0)(B), l(infinity)(B) have recently been introduced by Somez (Comput. Math. Appl. 62: 641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of ...
Ali Karaisa, Karaisa, Ali
core +1 more source
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
CAPUTO TYPE FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL ERDÉLYI-KOBER TYPE INTEGRAL BOUNDARY CONDITIONS IN BANACH SPACES [PDF]
In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions.
Abdellatif Boutiara +2 more
doaj
The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source
Advances in nonlinear analysis via the concept of measure of noncompactness [PDF]
This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept
Jleli, Mohamed +5 more
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Alternative Approaches for Estimating Highest‐Density Regions
Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley +1 more source
An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space .
Fang Li, Huiwen Wang
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