• Journal of Applied and Pure Mathematics
• /
• 제4권5_6호
• /
• pp.221-231
• /
• 2022

In this paper, we study differential equations arising from the generating functions of (p, q)-Hermite polynomials. We use this differential equation to give explicit identities for (p, q)-Hermite polynomials.

• Geomechanics and Engineering
• /
• 제8권2호
• /
• pp.283-303
• /
• 2015

To research and analyze the differential settlements of foundations specifically, site investigations of existing railways and metro were firstly carried out. Then, the centrifugal test was used to observe differential settlements in different position between foundations on the basis of investigation. The theoretical model was established according to the stress diffusion method and Fourier method to establish an analytical solution of embankment differential settlement between different foundations. Finally, theoretical values and experimental values were analyzed comparatively. The research results show that both in horizontal and vertical directions, evident differential settlement exists in a limited area on both sides of the vertical interface between different foundations. The foundation with larger elastic modulus can transfer more additional stress and cause relatively less settlement. Differential settlement value decreases as the distance to vertical interface decreases. In the vertical direction of foundation, mass differential settlement also exists on both sides of the vertical interface and foundation with larger elastic modulus can transfer more additional stress. With the increase of relative modulus of different foundations, foundation with lower elastic modulus has larger settlement. Meanwhile, differential settlement is more obvious. The main error sources in theoretical and experimental values include: (a) different load form; (b) foundation characteristics differences; (c) modulus conversion; (d) effect of soil internal friction.

• 대한수학회논문집
• /
• 제20권4호
• /
• pp.765-774
• /
• 2005

The orthogonality of polynomials plays an important role in many areas and in many cases only finite orthogonalities are used. Concerning this fact we find characterizations of a finite orthogonal polynomial system satisfying a second order differential equation and then give several examples.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제4권2호
• /
• pp.167-173
• /
• 1997

In this paper, we investigated several asymptotic stability properties of the system for the type of dy/dt = $h(t)^{-1}F(t_1, k(t)y(t))$.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제42권4호
• /
• pp.503-521
• /
• 2003

In this paper, we propose programs of geometry related courses for the department of mathematics education of teacher training universities. We suggest 4 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’, ‘Topology’ as geometry related courses in Shin et. al.(2003). Among those 4 courses, we state desirable direction of curricula on 3 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’ in this paper.

• 충청수학회지
• /
• 제9권1호
• /
• pp.165-174
• /
• 1996

Using the comparison principle and inequalities we obtain some results on boundedness and stabilities of solutions of the nonlinear functional differential equation $y^{\prime}=f(t,y)+g(t,y,Ty)$.

• Journal of applied mathematics & informatics
• /
• 제33권5_6호
• /
• pp.687-697
• /
• 2015

This paper shows that the solutions to the perturbed nonlinear functional differential system

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제4권1호
• /
• pp.40-44
• /
• 2004

In this paper we study the existence and uniqueness of fuzzy solutions for the nonlinear fuzzy integro-differential equations on $E^{n}_{N}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $E^{n}_{N}$. $E^{n}_{N}$ be the set of all fuzzy numbers in $R^{n}$ with edges having bases parallel to axis $x_1$, $x_2$, …, $x_n$.

• Hip & pelvis
• /
• 제35권1호
• /
• pp.1-5
• /
• 2023

Piriformis syndrome is a common differential diagnosis related to sciatica. The following review provides a concise synopsis of the diagnosis, management, history, and alternatives to diagnosis of piriformis syndrome. A search of the literature for research articles related to piriformis syndrome and associated differential diagnosis of sciatica was conducted. A thorough review of the included articles found that the condition known as piriformis syndrome is over-diagnosed and that potential anatomic and biomechanical variations originating in the pelvic region might be related to the complaint of sciatica. The criteria for diagnosis are based on findings from both physical examination and radio imaging. Piriformis syndrome resembles a variety of clinical conditions; therefore, conduct of future studies should include development of a validated method for evaluation as well as clinical criteria for diagnosis of piriformis syndrome.

• 충청수학회지
• /
• 제9권1호
• /
• pp.69-76
• /
• 1996

We obtain some properties of reducible differential equations in the sense of Liapunov.