获奖情况
1. 合作完成的《升板建筑设计与施工技术——预应力锥形柱帽》获1978年全国科学大会奖。
2. 合作完成的《预应力锥形柱帽升板结构》获1978年河南省重大科学技术成果奖。
3. 陈国旺、邢家省、杨志坚，Cauchy problem for generalized IMBq equation with several variables 论文获1999年河南省优秀论文壹等奖。
陈国旺、张宏伟，Initial boundary value problem for a system of generalized IMBq equations 论文获2006年河南省自然科学优秀学术论文壹等奖。
主要论文
[1] 陈国旺，王书彬，Existence and Non-Existence of Global Solutions for Nonliner Hyperbolic Equations of Higher Order, Comment. Math. Univ. Carolinae, 1995, 36(3), 475-487.
[2] 杨志坚，陈国旺，一类广义Boussinesq方程解的Blow-up, 数学物理学报，1996, 16(1), 31-39.
[3] 陈国旺，邢家省，杨志坚，Cauchy Problem for Generalized IMBq Equation with Several Variables, Nonlinear Analysis, Theory, Methods & Applications, 1996, 26(7), 1255-1270.
[4] 陈国旺、王书彬，Existence and Nonexistence of Global Solutions for the Generalized IMBq Equation, Nonlinear Analysis TMA, 1999, 36(8), 961-980.
[5] 陈国旺，人口问题中的三维Ginzburg-Landau模型方程的Cauchy问题，数学年刊，1999，20A（2），45-54.
[6] 陈国旺，杨志坚，Existence and Non-existence of Global Solutions for a class of Nonlinear Wave Equations, Mathematical Methods in the Applied Sciences, 2000, 23, 615-631.
[7] 杨志坚，陈国旺，Boussinesq 型方程的周期边界问题与初值问题解的存在性，应用数学学报，2000, 23(2),261-269.
[8] 陈国旺，吕胜关，人口问题中广义三维Ginzburg-Landau 模型方程的初边值问题，2000，23（4），507-517.
[9] 陈国旺，王书彬，张宏伟，n维广义IMBq方程的初边值问题，数学年刊，2001，22A：4，453-460.
[10] 王书彬，陈国旺，The Cauchy problem for the generalized IMBq equation in , Journal of Mathematical Analysis and Applications, 2002, 266, 38-54.
[11] 王书彬，陈国旺， Small amplitude solutions of the generalized IMBq equation, Journal of Mathematical Analysis and Applications, 2002, 274, 846-866.
[12] 陈国旺，Initial boundary value problem for a damped nonlinear hyperbolic equation, Journal of Partial Differential Equations, 2003, 16(1), 49-61.
[13] 张宏伟，陈国旺， 一类非线性四阶波动方程的位势井方法，数学物理学报，2003，23（6），758-768.
[14] 杨志坚，陈国旺， Global existence of solutions for quasi-linear wave equations with viscous damping, J. Math. Anal. Appl., 2003, 285, 604-618.
[15] 陈国旺，张宏伟， Initial boundary value problem for a system of generalized IMBq equations, 已被Mathematical Methods in the Applied Sciences 2004，27，497-518.
[16] 张宏伟，陈国旺， Asymptotic stability for a nonlinear evolution equation, Commentations Mathematicae Universitatis Carolinae, 2004, 45(1), 101-107.
[17] 陈国旺，王艳萍，赵占才，Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation, Applied Mathematics Letters, 2004, 17, 491-497.
[18] 陈国旺，王艳萍，王书彬， Initial boundary value problem of the generalized cubic double dispersion equation, Journal of Mathematical Analysis and Applications, 2004, 299, 563-577.
[19] 王书彬，陈国旺， Cauchy problem of the generalized double dispersion equation, Nonlinear Analysis TMA, 2006, 64, 159-173.
[20] 王书彬，陈国旺， Cauchy problem for the nonlinear Schrödinger-IMBq equations, Discrete and Continuous Dynamical Systems-series B, 2006, 6(1), 203-214.
[21] 王艳萍，陈国旺，人口问题中一广义Ginzburg-Landau 模型方程的时间周期解，数学物理学报，2006，26A（2），258-266.
[22] 王书彬，徐桂香，陈国旺，Cauchy problem for the generalized Benney-Luke equation, Journal for Mathematical Physics, 2007， 48, 073521.
[23] 陈国旺，岳红云，王书彬，The initial boundary value problem for quasi-linear wave equation with viscous damping, J. Math. Anal. Appl., 2007, 33, 823-839.
[24] 王艳萍，陈国旺，一类高阶非线性波动方程的时间周期问题，应用数学学报，2007, 30(2), 289-296.
[25] 韩献军，陈国旺，一类非线性高阶波动方程的初边值问题，数学物理学报， 2007, 27(4), 624-640.
[26] 陈国旺，王艳萍，A note on “On the existence of solutions of quasilinear wave equations with viscosity”, Nonlinear Analysis TMA, 2008, 68(3), 609-620.
[27] 陈翔英，陈国旺， Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order, Nonlinear Analysis TMA, 2008, 68(4), 892-904.
[28] 陈国旺，薛红霞，Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation, Journal of Differential Equations, 2008, 245, 2705-2722.
[29] 陈国旺，薛红霞，Periodic boundary value problem and Cauchy problem of the generalized cubic double dispersion equation, Acta Mathematica Scientia, 2008, 28(3), 573-587.
[30] 陈国旺，达芳，Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation, Nonlinear Analysis TMA, 2009, 71(1-2), 358-372.
[31] 陈国旺，陆博，The initial-boundary value problems for a class of nonlinear wave equations with damping term, Journal of Mathematical Analysis and Applications, 2009, 351, 1-15.
[32] 陈国旺，郭红霞，张宏伟, Global existence of solutions of Cauchy problem for generalized system of nonlinear evolution equations arising from DNA Journal of Mathematical Physics, 2009, 50, 083514-23.
[33] 陈国旺 侯长顺, Initial value problem for a class of fourth-order nonlinear wave equations. Applied Mathematics and Mechanics, 2009, 30(3), 391-401.