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Existence of Mild Solutions for Fractional Nonlocal Evolution Equations With Delay in Partially Ordered Banach Spaces
This paper deals with the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered Banach spaces. Under some mixed conditions, a group of sufficient...
Published by: Digital Commons @ Texas A&M University-San Antonio
Existence of Mild Solutions for Fractional Nonlocal Evolution Equations With Delay in Partially Ordered Banach Spaces
This paper deals with the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered Banach spaces. Under some mixed conditions, a group of sufficient...
Published by: Digital Commons @ Texas A&M University-San Antonio
Existence of Mild Solutions for Fractional Nonlocal Evolution Equations With Delay in Partially Ordered Banach Spaces
This paper deals with the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered Banach spaces. Under some mixed conditions, a group of sufficient...
Published by: Digital Commons @ Texas A&M University-San Antonio
Two-layer neural networks with values in a Banach space
Yury Korolev
Dec 31, 2022
We study two-layer neural networks whose domain and range are Banach spaces with separable preduals. In addition, we assume that the image space is equipped with a partial order, i.e. it is a Riesz space. As the nonlinearity we...
Two-layer neural networks with values in a Banach space
Yury Korolev
Dec 31, 2022
We study two-layer neural networks whose domain and range are Banach spaces with separable preduals. In addition, we assume that the image space is equipped with a partial order, i.e. it is a Riesz space. As the nonlinearity we...
Multi-Intelligence English Teaching Model Based on Distance and Open Education
Distance education between the student and the teacher through online sessions can make it difficult for a student who does not understand a concept to ask for clarification. Lack of a physical campus or social pressure from...
Published by: IGI Global Scientific Publishing
The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon * * Dedicated to Gary Gibbons on the occasion of his 75th birthday.
Abstract: We use an isometric embedding of the cross-over surface of the outer horizon of a rapidly rotating Kerr black hole in a hyperbolic space to compute the quasi-local mass of the horizon for any allowed value of the spin...
Autophoretic motion in three dimensions.
Janus particles with the ability to move phoretically in self-generated chemical concentration gradients are model systems for active matter. Their motion typically consists of straight paths with rotational diffusion being the...
The bank of swimming organisms at the micron scale (BOSO-Micro)
Unicellular microscopic organisms living in aqueous environments outnumber all other creatures on Earth. A large proportion of them are able to self-propel in fluids with a vast diversity of swimming gaits and motility patterns....
Variational principles for conformal geodesics
Abstract: Conformal geodesics are solutions to a system of third-order equations, which makes a Lagrangian formulation problematic. We show how enlarging the class of allowed variations leads to a variational formulation for...
On Schwarzschild causality in higher dimensions
Abstract: We show that the causal properties of asymptotically flat spacetimes depend on their dimensionality: while the time-like future of any point in the past conformal infinity I− contains the whole of the future conformal...
A deformed IR
Abstract
In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole....
Twistor theory at fifty
We review aspects of twistor theory, its aims and achievements spanning the last five decades. In the twistor approach, space-time is secondary with events being derived objects that correspond to compact holomorphic curves in a...
The bank of swimming organisms at the micron scale (BOSO-Micro).
Unicellular microscopic organisms living in aqueous environments outnumber all other creatures on Earth. A large proportion of them are able to self-propel in fluids with a vast diversity of swimming gaits and motility patterns....
Sine-Gordon on a wormhole
Abstract: In an attempt to understand the soliton resolution conjecture, we consider the sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topological sector (indexed by a positive...
Sine-Gordon on a wormhole
Abstract: In an attempt to understand the soliton resolution conjecture, we consider the sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topological sector (indexed by a positive...
The bank of swimming organisms at the micron scale (BOSO-Micro).
Unicellular microscopic organisms living in aqueous environments outnumber all other creatures on Earth. A large proportion of them are able to self-propel in fluids with a vast diversity of swimming gaits and motility patterns....
Published by: PLOS ONE
Phoretic flow induced by asymmetric confinement
Internal phoretic flows due to the interactions of solid boundaries with local chemical gradients may be created using chemical patterning. Alternatively, we demonstrate here that internal flows might also be induced by...
Light-switchable propulsion of active particles with reversible interactions.
Active systems such as microorganisms and self-propelled particles show a plethora of collective phenomena, including swarming, clustering, and phase separation. Control over the propulsion direction and switchability of the...
In Vitro Influence of Mycophenolic Acid on Selected Parameters of Stimulated Peripheral Canine Lymphocytes.
Mycophenolic acid (MPA) is an active metabolite of mycophenolate mofetil, a new immunosuppressive drug effective in the treatment of canine autoimmune diseases. The impact of MPA on immunity is ambiguous and its influence on the...
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