Articles with "solvability class" as a keyword



Global Gevrey solvability for a class of perturbations of involutive systems

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Published in 2021 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2020.09.006

Abstract: Abstract We study the global Gevrey solvability of the system L j = ∂ t j + a j ( t ) ∂ x + b j ( t ) in T t n ×… read more here.

Keywords: solvability class; global gevrey; gevrey solvability; class perturbations ... See more keywords
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Local solvability for a class of linear operators in Besov and Hölder spaces

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.04.077

Abstract: Abstract We show local solvability in Besov spaces for a class of first order linear operators L defined on an open set of R n + 1 , n ∈ N , satisfying the condition… read more here.

Keywords: local solvability; solvability; solvability class; linear operators ... See more keywords
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Solvability of a class of boundary value problems in the space of convergent sequences

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Published in 2018 at "Applicable Analysis"

DOI: 10.1080/00036811.2017.1343464

Abstract: Abstract We consider two types of infinite systems of second-order differential equations with boundary conditions in the Banach sequence space c. For each system, sufficient conditions are provided for the existence of solutions. Our approach… read more here.

Keywords: problems space; space; class boundary; boundary value ... See more keywords
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Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14010108

Abstract: We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore,… read more here.

Keywords: symmetries solvability; higher order; solvability class; difference equations ... See more keywords