http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Nagarajan, Durga,Palanisamy, Muthukumar Korean Mathematical Society 2018 대한수학회보 Vol.55 No.2
This paper deals with an optimal control on semilinear stochastic functional differential equations with Poisson jumps in a Hilbert space. The existence of an optimal control is derived by the solution of proposed system which satisfies weakly sequentially compactness. Also the stochastic maximum principle for the optimal control is established by using spike variation technique of optimal control with a convex control domain in Hilbert space. Finally, an application of retarded type stochastic Burgers equation is given to illustrate the theory.
Durga Nagarajan,Muthukumar Palanisamy 대한수학회 2018 대한수학회보 Vol.55 No.2
This paper deals with an optimal control on semilinear stochastic functional differential equations with Poisson jumps in a Hilbert space. The existence of an optimal control is derived by the solution of proposed system which satisfies weakly sequentially compactness. Also the stochastic maximum principle for the optimal control is established by using spike variation technique of optimal control with a convex control domain in Hilbert space. Finally, an application of retarded type stochastic Burgers equation is given to illustrate the theory.
Ku, Kyo-Sun,Muthukumar, Palanisamy,Angupillai, Satheshkumar,Son, Young-A Elsevier 2016 Sensors and actuators. B Chemical Vol.236 No.-
<P><B>Abstract</B></P> <P>In this paper, a novel fluorescent probe based on a rhodamine 6G derivative (RG-HN) was designed and synthesized for the recognition of Al<SUP>3+</SUP>. The synthesized RG-HN showed high selectivity towards Al<SUP>3+</SUP> in CH<SUB>3</SUB>CN in the presence of other competitive metal ions. The addition of Al<SUP>3+</SUP>into RG-HN led to a visible color change and an off-on fluorescence change due to the opening of the spirolactam ring. The detection limit was calculated based on 3δ/k and found to be 2.6×10<SUP>−8</SUP> M. The Job’s plot and LCMS spectrum clearly suggested the formation of a 2:1 complex of RG-HN with Al<SUP>3+</SUP>. Further, RG-HN thin films were prepared and used as probes for the detection of Al<SUP>3+</SUP> in completely aqueous media. RG-HN thin film showed a visible color change after immersing in Al<SUP>3+</SUP> in water. Changes in the morphology of the RG-HN thin film upon sensing of Al<SUP>3+</SUP> were studied by scanning electron microscopy.</P> <P><B>Highlights</B></P> <P> <UL> <LI> A new rhodamine 6G based chemosensor (RG-HN) was synthesized and its chemical structure was confirmed by <SUP>1</SUP>HNMR, <SUP>13</SUP>CNMR and ESI-mass. </LI> <LI> RG-HN showed good selectivity towards Al<SUP>3+</SUP>. </LI> <LI> RG-HN thin film was prepared by dip-coating method. </LI> <LI> RG-HN thin film recognizes Al<SUP>3+</SUP> in 100% of aqueous media. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>