• Journal of the Korean Mathematical Society
• /
• v.39 no.5
• /
• pp.681-692
• /
• 2002

In the article [2], the conjugate Darboux-Protter problem Dn is formulated for the two dimensional wave equation in the class of unbounded functions and the uniqueness of solutions has been established. In this paper, we shall show the existence of solutions for the hyperbolic equations with Bessel operators in another special case.

• Research in Mathematical Education
• /
• v.10 no.1 s.25
• /
• pp.71-78
• /
• 2006

Gifted education has been becoming a focus of every field in Chinese society as a special educational mode, since Special Class for the Gifted Youth in the University of Science and Technology of China began to enroll students. In this paper we first introduce the developing procedure of the gifted education in China, and then recommend and analyze the characteristics of a successful gifted educational base in China. At length, we probe into the problems that exist in process of carrying on the gifted education in China for reference.

• Honam Mathematical Journal
• /
• v.37 no.4
• /
• pp.397-409
• /
• 2015

This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.

• Journal of applied mathematics & informatics
• /
• v.29 no.5_6
• /
• pp.1533-1539
• /
• 2011

In this paper, a class of nonlinear bilevel programs, i.e. the lower level problem is linear programs, is considered. Aiming at this special structure, we append the duality gap of the lower level problem to the upper level objective with a penalty and obtain a penalized problem. Using the penalty method, we give an existence theorem of solution and propose an algorithm. Then, a numerical example is given to illustrate the algorithm.

• Management Science and Financial Engineering
• /
• v.8 no.2
• /
• pp.21-31
• /
• 2002

In this paper, we explore a new class of cutting planes by extending the concept of fractional S-K (S-K) cuts. This class of cuts is derived by applying a suitable surrogate constraint analysis that incorporates a special multiplier adjustment method to the generalized Gomory's fractional cut. We present computational results to provide insights into the performance of these cuts in comparison with other well known classes of cuts.

• Communications of the Korean Mathematical Society
• /
• v.17 no.1
• /
• pp.15-20
• /
• 2002

We present an explicit form for a class of definite integrals whose special cases include some definite integrals evaluated, over a century ago, by Cahen who made use of an appropriate contour integral for the integrand of a well-known integral representation of the Riemann Zeta function given in (3). Furthermore another analogous class of definite integral formulas and some identities involving Riemann Zeta function and Euler numbers En are also obtained as by-products.

• Journal of the Korean Mathematical Society
• /
• v.53 no.1
• /
• pp.233-246
• /
• 2016

In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.

• Honam Mathematical Journal
• /
• v.33 no.2
• /
• pp.129-142
• /
• 2011

A (presumably) new class of generalized triple hyper-geometric functions is presented. We also give integral representations of Laplace type for certain special cases of the new class of functions.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.3
• /
• pp.657-669
• /
• 2013

A general class of two-point optimal fourth-order methods is proposed for locating multiple roots of a nonlinear equation. We investigate convergence analysis and computational properties for the family. Special and simple cases are considered for real-life applications. Numerical experiments strongly verify the convergence behavior and the developed theory.

• Journal of the Korean Mathematical Society
• /
• v.51 no.6
• /
• pp.1269-1289
• /
• 2014

We first find a sufficient condition for a product of theta constants to be a Siegel modular function of a given even level. And, when $K_{(2p)}$ denotes the ray class field of $K=\mathbb{Q}(e^{2{\pi}i/5})$ modulo 2p for an odd prime p, we describe a subfield of $K_{(2p)}$ generated by the special value of a certain theta constant by using Shimura's reciprocity law.