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On unbounded solutions for differential equations with mean curvature operator
We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean...
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Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction
In this work, we investigate a model order reduction scheme for high-fidelity nonlinear structured parametric dynamical systems. More specifically,...
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Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis
This paper uses data-driven operator theoretic approaches to explore the global phase space of a dynamical system. We defined conditions for...
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On the space of initial values strictly satisfying the dominant energy condition
The dominant energy condition imposes a restriction on initial value pairs found on a spacelike hypersurface of a Lorentzian manifold. In this...
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Three solutions for fractional elliptic systems involving ψ-Hilfer operator
In this paper, using variational methods introduced in the previous study on fractional elliptic systems, we prove the existence of at least three...
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The existence of solutions of operator equations in Fréchet Algebras and applications
The paper examines fixed point outcomes for the two-variable operator F acting in Fréchet algebras. These results can be viewed as modifications of...
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HexDom: Polycube-Based Hexahedral-Dominant Mesh Generation
In this paper, we extend our earlier polycube-based all-hexahedral mesh generation method to hexahedral-dominant mesh generation, and present the...
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Some Subclasses of Univalent Functions Associated with the k-Ruscheweyh Derivative Operator
We investigate some subordination and other properties, as well as the inclusion relations for functions in certain subclasses of univalent functions...
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Fitted operator method for parabolic singularly perturbed convection-diffusion problems via polynomial cubic spline
This article introduces a new fitted operator method for singularly perturbed parabolic convection-diffusion having right boundary layer. We...
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tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format
Extracting information about dynamical systems from models learned off simulation data has become an increasingly important research topic in the...
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A formula for gap between \(\mathbb {K}\)-relatively bounded operator matrices in non-Archimedean Banach spaces
To study the notion of gap between two operator matrices on non-Archimedean Banach spaces, it is natural to take stability of closedness for these...
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Approximate Solution of a Dominant Singular Integral Equation with Conjugation
We use the method of successive approximations and Faber polynomials to obtain an approximate solution of a dominant singular integral equation with...
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Some applications of third-order differential subordination for analytic functions involving k-Ruscheweyh derivative operator
Making use of the differential subordination results of Antonino and Miller (Complex Var Elliptic Eq 56:439–454, 2011), we derive some applications...
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Geometric properties of the meromorphic functions class through special functions associated with a linear operator
According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to...
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High order approximations of the operator Lyapunov equation have low rank
We present a low-rank greedily adapted hp -finite element algorithm for computing an approximation to the solution of the Lyapunov operator equation....
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Identifying native endemic plant species in Nilgiris using the interval type 2 q-rung orthopair fuzzy Bonferroni mean operator
The Nilgiris biosphere reserve in the Western Ghats of South India is an International Biosphere Reserve. This paper focuses on the diversity of...
