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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 ×…
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Keywords:
solvability class;
global gevrey;
gevrey solvability;
class perturbations ... See more keywords
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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…
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Keywords:
local solvability;
solvability;
solvability class;
linear operators ... See more keywords
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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…
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Keywords:
problems space;
space;
class boundary;
boundary value ... See more keywords
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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,…
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Keywords:
symmetries solvability;
higher order;
solvability class;
difference equations ... See more keywords