• 대한수학회지
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• 제31권1호
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• pp.57-67
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• 1994

• Kyungpook Mathematical Journal
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• 제31권2호
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• pp.171-184
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• 1991

• Kyungpook Mathematical Journal
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• 제32권1호
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• pp.67-78
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• 1992

• East Asian mathematical journal
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• 제9권1호
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• pp.99-104
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• 1993

• 한국수학교육학회지시리즈A:수학교육
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• 제22권1호
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• pp.67-68
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• 1983

In this note we consider properties for the discreteness of the spectrum of second-order differential operators. If we give some conditions, then the spectrum of any self-adjoint extension of $A_{0}$ , $A_{0}$ u=$\alpha$[u], D( $A_{0}$ )= $C_{0}$ $^{\infty}$(0.1) is discrete.1) is discrete.

• 한국통신학회:학술대회논문집
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• 한국통신학회 2006년도 하계종합학술발표회 논문 초록집
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• pp.715-715
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• 2006

• 대한임베디드공학회논문지
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• 제17권2호
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• pp.123-128
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• 2022

This paper proposes a mobile robot platform for education that can experiment with various autonomous driving algorithms such as obstacle avoidance and path planning. The platform consists of a robot module and a remote controller module, both of which are based on the Arduino Nano 33 IoT embedded board. The robot module is designed as a differential drive type using two encoder motors, and the speed of the motor is controlled using PID control. In the case of the remote controller module, a command to control the robot platform is received with a 2-axis joystick input, and an elliptical grid mapping technique is used to convert the joystick input into a linear and angular velocity command of the robot. WiFi and Zigbee are used for communication between the robot module and the remote controller module. The proposed robot platform was tested by measuring and comparing the linear velocity and angular velocity of the actual robot according to the linear velocity and angular velocity commands of the robot generated by the input of the joystick.

• 호남수학학술지
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• 제37권4호
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• pp.411-421
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• 2015

This paper investigates the issue of analytic travelling wave solutions for some important coupled models of fractional order. Analytic travelling wave solutions of the considered model are found by means of the Q-function method. The results give us that the Q-function method is very simple, reliable and effective for searching analytic exact solutions of complex nonlinear partial differential equations.

• East Asian mathematical journal
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• 제30권1호
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• pp.79-91
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• 2014

We consider the parabolic evolution differential equation such as heat equation and porus-medium equation on a Riemannian manifold M whose Ricci curvature is bounded below by $-(n-1)k^2$ and bounded below by 0 on some amount of M. We derive some bounds of differential quantities for a positive solution and some inequalities which resemble Harnack inequalities.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제13권1호
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• pp.19-38
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• 2006

We analyze the spectral collocation approximation for a parabolic partial integrodifferential equations(PIDE) with a weakly singular kernel. The space discretization is based on the spectral collocation method and the time discretization is based on Crank-Nicolson scheme with a graded mesh. We obtain the stability and second order convergence result for fully discrete scheme.