The Shock Solution for a Class of Quasilinear Singularly Perturbed Boundary Value Problems

Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (3): 317-322.

College of Mathematics and Computer Science, Anhui Normal University

Received:2010-06-25 Online:2012-09-30 Published:2023-03-20
About author:CHEN Ting(1987-), female, native of Anqing, Anhui, M.S.D., engages in diﬀerential equation; YAO Jing-sun(1956-), female, native of Huangshan, Anhui, a professor of Anhui Normal University, engages in diﬀerential equation.
Supported by:
Supported by the NNSF of China(10901003)； Supported by the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2011A135)

Abstract

CLC Number:

O175.14

CHEN Ting, YAO Jing-sun. The Shock Solution for a Class of Quasilinear Singularly Perturbed Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 317-322.

[1]	WANG Chuan, QIAO Yan. Space-Time Legendre Spectral Collocation Methods for Korteweg-De Vries Equation [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 392-400.
[2]	WANG Ke, PAN Pan-pan. Exact Boundary Controllability for a 1-D Second-Order Quasilinear Hyperbolic System [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 424-440.
[3]	YUE Jun-rui, BAI Qing-yue. Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 410-417.
[4]	ZHANG Hong-wei, LI Dong-hao, HU Qing-ying. General Energy Decay of Solutions for A Wave Equation with Nonlocal Nonlinear Damping and Source Terms [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(3): 302-310.
[5]	WU Hong-ping. Triple Positive Solutions for a Third-order Three-point Boundary Value Problem [J]. Chinese Quarterly Journal of Mathematics, 2019, 34(3): 283-289.
[6]	QI Yong-fang, HAN Li-tao, WEI Xu-ting. Lyapunov-type inequalities for fractional differential systems with more than three monomials [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 293-301.
[7]	TENG Nan, MA Fu-bo, YU Tong, MO Ran. Existence and Uniqueness of Solutions to Singular Higher Order Two-point BVPs on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(1): 49-58.
[8]	WU Hong-ping. Symmetric Positive Solutions of Nonlinear Singular Second-order Three-point Boundary Value Problem [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 358-365.
[9]	ZHANG Lin-li, LIU An-ping, LIU Wei-an. Periodic Boundary Value Problem for Second-order Impulsive Integro-differential Equation [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 227-235.
[10]	TAN Hui-xuan, FENG Han-ying, FENG Xing-fang, DU Ya-tao. Triple Positive Solutions to a Third-order Three-point Boundary Value Problem with p-Laplacian Operator [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 55-65.
[11]	HAN Ren-ji, ZHOU Xian-feng, LI Xiang, JIANG Wei. The Solution to Impulse Boundary Value Problem for a Class of Nonlinear Fractional Functional Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 400-411.
[12]	ZHANG Yu-chuan, ZHOU Zong-fu. Positive Solutions for Fourth-order Delay Differential Equation of Boundary Value Problem with p-Laplacian [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 171-179.
[13]	LI Yao-hong. Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 55-64.
[14]	LI Ping-run. The Method of Solutions for some Kinds of Singular Integral Equations of Convolution Type with Both Reflection and Translation Shift [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 107-115.
[15]	SUN Lin-lin, LIANG Tie-wang, ZHANG Jian-peng. Local Regularity for a ID Compressible Viscous Micropolar Fluid Model with Non-homogeneous Temperature Boundary [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 129-141.

The Shock Solution for a Class of Quasilinear Singularly Perturbed Boundary Value Problems

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments