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Existence, Uniqueness and Stability of Solutions of a Variable-Order Nonlinear Integro-differential Equation in a Banach Space
This article studies some important results in a Banach space for non-discrete nonlinear integro-differential equations with variable order
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Solution Stability of Delay Differential Equations in Banach Spaces
AbstractThe Lyapunov stability of steady-state solutions to nonlinear differential equations with time-dependent operators and time-dependent delay...
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Triviality Theorem for Quasirepresentations in Reflexive Banach Spaces
AbstractIt is proved that, for a sufficiently small defect of a (not necessarily bounded) quasirepresentations of an amenable group in a reflexive...
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On the Mean Ergodic Theorem in Bicomplex Banach Modules
In this paper the mean ergodic theorem in bicomplex Banach modules is studied. Under appropriate conditions of boundness for the iterates...
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Convergence of Dynamics on Inductive Systems of Banach Spaces
Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples...
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Group-Covariant Stochastic Products and Phase-Space Convolution Algebras
A quantum stochastic product is defined as a binary operation on the convex set of quantum states that preserves the convex structure. We discuss a...
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A Corollary to a Triviality Theorem for Quasirepresentations of an Amenable Group in Reflexive Banach Spaces
AbstractAs is known, for a sufficiently small defect of a (not necessarily bounded) quasirepresentation of an amenable group in a reflexive Banach...
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Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: I. Existence
The Kelvin–Planck statement of the second law of thermodynamics is a stricture on the nature of heat receipt by any body suffering a cyclic process....
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Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: II Properties
In a companion article it was shown in a certain precise sense that, for any thermodynamical theory that respects the Kelvin–Planck second law, the...
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Banach Spaces
Normed spaces are treated at length as well as techniques of Banach spaces for solving differential and integral equations. Classical results, such...
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Geometry of Banach Spaces: A New Route Towards Position Based Cryptography
In this work we initiate the study of position based quantum cryptography (PBQC) from the perspective of geometric functional analysis and its...
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Free scalar field theory on a Sobolev space over a bounded interval
This paper discusses several functional analytic issues relevant for field theories in the context of the Hamiltonian formulation for a free,...
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Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space
AbstractRandom Hamiltonian flows in an infinite-dimensional phase space is represented by random unitary groups in a Hilbert space. For this, the...
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S-Spectrum of Quaternionic Right Linear Bounded Operators
In this paper, we study the properties of the S-spectrum of right linear bounded operators on a right quaternionic Banach space. We prove some...
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Navier–Stokes Equations in the Half Space with Non Compatible Data
This paper considers the Navier–Stokes equations in the half plane with Euler-type initial conditions, i.e., initial conditions with a non-zero...
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On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures
In this work, we show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant...
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Discontinuities Cause Essential Spectrum
We study transfer operators associated to piecewise monotone interval transformations and show that the essential spectrum is large whenever the...
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Burkholder–Davis–Gundy Inequalities in UMD Banach Spaces
In this paper we prove Burkholder–Davis–Gundy inequalities for a general martingale M with values in a UMD Banach space X . Assuming that
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Hybrid techniques for approximate analytical solution of space- and time-fractional telegraph equations
This article intends to study the space-fractional and time-fractional telegraph equations using three hybrid methods, viz. Elzaki homotopy...
