CONSTRUCTION AND ANALYSIS OF A SPECIAL ONE-DIMENSIONAL CONTINUOUS FUNCTION
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DOI: 10.1142/s0218348x17500207
Abstract: In this paper, the definition of unbounded variation point is introduced firstly. Then, we construct a continuous function containing uncountable unbounded variation points on the basis of Devil stair function. Finally, a mass of meaningful… read more here.
Keywords: construction analysis; one dimensional; analysis special; function ... See more keywords
Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces
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DOI: 10.4153/s0008439518000048
Abstract: Abstract In this paper, by using operator-valued ${\dot{C}}^{\unicode[STIX]{x1D6FC}}$ -Fourier multiplier results on vector-valued Hölder continuous function spaces, we give a characterization of the $C^{\unicode[STIX]{x1D6FC}}$ -well-posedness for the third order differential equations $au^{\prime \prime \prime }(t)+u^{\prime… read more here.
Keywords: continuous function; function spaces; lder continuous; prime prime ... See more keywords