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The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework
In this paper, we prove the existence and uniqueness of solutions to the 2D magnetomicropolar boundary layer equations on the half-plane by using the...
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Uniqueness of Local, Analytic Solutions to Singular ODEs
We study local, analytic solutions for a class of initial value problems for singular ODEs. We prove existence and uniqueness of such solutions under...
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Analytic Sets
In this chapter we give an introduction to analytic sets. Roughly speaking, analytic sets are sets whose elements are locally solutions of...
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Analytic Properties of Solutions to the Equation of Internal Gravity Waves with Flows for Critical Modes of Wave Generation
AbstractIssues related to the statement of problems of describing the dynamics of linear internal gravity waves in stratified media with horizontal...
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Existence of Analytic Solutions for Some Classes of Singular Integral Equations of Non-normal Type with Convolution Kernel
In this work, we deal with the existence and uniqueness of solutions for some classes of singular convolution equations. Firstly, we establish...
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Analytic Solutions of Delay-Differential Equations
In 1973 Nussbaum proved that certain bounded solutions of autonomous delay-differential equations with analytic nonlinearities are themselves...
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Analytic properties of heat equation solutions and reachable sets
There recently has been some interest in the space of functions on an interval satisfying the heat equation for positive time in the interior of this...
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New analytic solutions to 2D transient heat conduction problems with/without heat sources in the symplectic space
The two-dimensional (2D) transient heat conduction problems with/without heat sources in a rectangular domain under different combinations of...
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On the Continuation of Solutions of Linear Equations with Analytic Coefficients
AbstractIn the tangent space, the principal symbol of the considered class of linear differential equations with analytic coefficients determines a...
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Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance
In this article, we extend the Laplace transform method to obtain analytic solutions for linear RDDEs and NDDEs which have real and complex poles of...
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Hardy spaces of meta-analytic functions and the Schwarz boundary value problem
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...
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New Analytic Solutions for Fluid Flow Equations in Higher Dimensions Around an Offshore Structure Describing Bidirectional Wave Surfaces
Offshore structures are utilized in several fields, including marine engineering, the oil and gas industries, energy harvesting systems,...
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Numerical analytic continuation
Let f be an analytic function on a simply-connected compact continuum E of the complex z -plane. This might be an interval of the real line, where f ...
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The Chebyshev center as an alternative to the analytic center in the feasibility pump
As a heuristic for obtaining feasible points of mixed integer linear problems, the feasibility pump (FP) generates two sequences of points: one of...
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Analytic PDEs of Principal Type. Regularity of the Solutions
In this chapter, explicitly or not, we take it as a given that the partial differential operator under study, P(x,D), is analytic, of principal type...