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Pursuit Problem with an Arbitrary Initial Aiming Angle
AbstractAn exact solution to the pursuit problem in the predator-prey system is obtained for an arbitrary initial aiming angle of 0° < α 0 < 180° in...
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Attitude Tracking Control for Rigid Spacecraft with Arbitrary Convergence Time
In this paper, attitude tracking control with arbitrary convergence time for rigid spacecraft is considered. First, a novel time-varying sliding...
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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
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General Solutions of First-Order Algebraic ODEs in Simple Constant Extensions
If a first-order algebraic ODE is defined over a certain differential field, then the most elementary solution class, in which one can hope to find a...
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An Algebraic Geometric Foundation for a Classification of Second-Order Superintegrable Systems in Arbitrary Dimension
Second-order (maximally) superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the...
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Finer Interior Estimates for Injectively Elliptic Systems of Arbitrary Order
The standard manner in which interior elliptic estimates are formulated involves solid integrals over Euclidean balls. In this paper, by relying on...
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Factorization of the Partly Non-rational Matrix of Arbitrary Order
AbstractIt is proposed a constructive method of factorization of partly non-rational matrix-functions of an arbitrary order. The algorithm is...
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Spectral Laplace Transform of Signals on Arbitrary Domains
The Laplace transform is a central mathematical tool for analysing 1D/2D signals and for the solution to PDEs; however, its definition and...
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Weyl’s law for arbitrary archimedean type
We generalize the work of Lindenstrauss and Venkatesh establishing Weyl’s Law for cusp forms from the spherical spectrum to arbitrary archimedean...
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Combinatorially rich sets in arbitrary semigroups
Combinatorially rich sets were introduced by Bergelson and Glasscock (J Comb Theory Ser A 172:105203, 2020) for commutative semigroups and shown to...
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Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval
AbstractFor arbitrary continuous functions on the interval [0, 1], we obtain an interpolation formula based on known values of these functions on...
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Efficient Iterative Arbitrary High-Order Methods: an Adaptive Bridge Between Low and High Order
We propose a new paradigm for designing efficient p -adaptive arbitrary high-order methods. We consider arbitrary high-order iterative schemes that...
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Mean Curvature Flow of Arbitrary Codimension in Complex Projective Spaces
Recently, Pipoli and Sinestrari [Pipoli, G. and Sinestrari, C., Mean curvature flow of pinched submanifolds of ℝℙ n , Comm. Anal. Geom. , 25 , 2017,...
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Volumes of Polyhedra in Non-Euclidean Spaces of Constant Curvature
Computation of the volumes of polyhedra is a classical geometry problem known since ancient mathematics and retaining its importance until present...
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Arbitrary decay for a von Karman system with memory
In this paper we study the von Karman plate model with long range memory. By using the assumptions on the relaxation function due to Tatar (J. Math....
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Quantitative Fatou-Type Theorems in Arbitrary UR Domains
The trademark blueprint of a Fatou-type theorem is that size/integrability properties of the nontangential maximal operator for a null-solution of an...
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Blow-Up of Solutions to Von Karman Equations with Arbitrary Initial Energy
The blow-up of solutions to Von Karman equations with arbitrary initial energy is proved. The proof is based on energy estimates, Lebesgue and...
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Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties
Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting...
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Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate
We prove non-trivial upper bounds for general bilinear forms with trace functions of bountiful sheaves, where the supports of two variables can be...