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32 articles for “Generalized functions”
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Research ArticleOpen accessAll words, across the recordDirect Shocks in Vibrationally Nonequilibrium Diatomic Gases at Various Distances from Critical Cross-Section of NozzleRydalevskaya Maria Alexandrovna, Voroshilova Yulia Nikolaevna, Uskov Vladimir NikolaevichThe high-temperature diatomic gas flows are considered in expanding nozzles under the conditions of a disturbance of the equilibrium distribution over vibrational levels of the molecules. The investigation of such flows is bound up with the problem of the inversion of the vibrational populations in the active mediums of molecular lasers. Under diverse values of the pressure overfall on coming … …American Journal of Applied Sciences, Vol. 11, Issue 11 · 7 Jan 2015 · 6,651 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordOn Applications of Differential Subordination and Differential OperatorM. Darus, R. W. IbrahimProblem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined. …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 1 Mar 2012 · 7,002 accessesView PDFCite