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## Pao, Chia-Ven

Compute Distance To:
 Author ID: pao.chia-ven Published as: Pao, C. V.; Pao, Chia-Ven
 Documents Indexed: 177 Publications since 1969, including 1 Book Reviewing Activity: 4 Reviews
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#### Co-Authors

 140 single-authored 5 Liu, Baoping 5 Ruan, Weihua 5 Wang, Yuanming 4 Ruan, Wenhui 3 Chang, Yu-Hsien 3 Jau, Guo-Chin 3 Lu, Xin 3 Mahaffy, Joseph M. 1 Carl, Siegfried 1 Cheng, Sui Sun 1 Feng, Wei 1 Grossmann, Christian 1 He, Taiping 1 Jin, Xuejun 1 Li, Zhilin 1 Qiao, Zhonghua 1 Vogt, William G. 1 Wang, Jianhua 1 Yang, Zhupei 1 Zhou, Lina 1 Zhou, Liting
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#### Serials

 36 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Applicable Analysis 6 Journal of Differential Equations 6 Numerische Mathematik 6 Numerical Methods for Partial Differential Equations 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 4 Computers & Mathematics with Applications 4 Journal of Mathematical Physics 4 Journal of Integral Equations 4 Nonlinear Analysis. Real World Applications 3 Archive for Rational Mechanics and Analysis 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Linear Algebra and its Applications 2 Communications on Applied Nonlinear Analysis 2 Communications in Applied Analysis 1 International Journal of Non-Linear Mechanics 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Canadian Mathematical Bulletin 1 Mathematical Systems Theory 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Advances in Applied Mathematics 1 Journal of Scientific Computing 1 Journal of Partial Differential Equations. Series A 1 Differential and Integral Equations 1 SIAM Journal on Scientific Computing 1 The Canadian Applied Mathematics Quarterly 1 Nonlinear Times and Digest 1 Journal of Difference Equations and Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 International Journal of Pure and Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Rendiconti di Matematica, VI. Serie 1 Journal of Applied Analysis and Computation
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#### Fields

 137 Partial differential equations (35-XX) 47 Numerical analysis (65-XX) 33 Biology and other natural sciences (92-XX) 26 Integral equations (45-XX) 13 Ordinary differential equations (34-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Fluid mechanics (76-XX) 4 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Astronomy and astrophysics (85-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

153 Publications have been cited 2,969 times in 1,602 Documents Cited by Year
Nonlinear parabolic and elliptic equations. Zbl 0777.35001
Pao, Chia-Ven
1992
Nonlinear elliptic boundary-value problems in unbounded domains. Zbl 0780.35044
Pao, C. V.
1992
On nonlinear reaction-diffusion systems. Zbl 0488.35043
Pao, C. V.
1982
Dynamics of nonlinear parabolic systems with time delays. Zbl 0860.35138
Pao, C. V.
1996
Convergence of solutions of reaction-diffusion systems with time delays. Zbl 0992.35105
Pao, C. V.
2002
Asymptotic behavior of a competition-diffusion system in population dynamics. Zbl 0522.92017
Zhou, L.; Pao, C. V.
1982
Coexistence and stability of a competition-diffusion system in population dynamics. Zbl 0479.92013
Pao, C. V.
1981
Systems of parabolic equations with continuous and discrete delays. Zbl 0880.35126
Pao, C. V.
1997
Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory. Zbl 0762.35049
Pao, C. V.
1992
Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion. Zbl 1074.35034
Pao, C. V.
2005
Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0920.35030
Pao, C. V.
1998
Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays. Zbl 1066.92054
Pao, C. V.
2004
Numerical analysis of coupled systems of nonlinear parabolic equations. Zbl 0921.65061
Pao, C. V.
1998
Quasisolutions and global attractor of reaction-diffusion systems. Zbl 0853.35056
Pao, C. V.
1996
Monotone iterative methods for finite difference system of reaction- diffusion equations. Zbl 0589.65072
Pao, C. V.
1985
On fourth-order elliptic boundary value problems. Zbl 0940.35070
Pao, C. V.
2000
Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions. Zbl 1120.35049
Pao, C. V.; Ruan, W. H.
2007
Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions. Zbl 0851.35063
Pao, C. V.
1995
Models of genetic control by repression with time delays and spatial effects. Zbl 0577.92010
Mahaffy, J. M.; Pao, C. V.
1984
Periodic solutions of parabolic systems with nonlinear boundary conditions. Zbl 0932.35111
Pao, C. V.
1999
Coupled nonlinear parabolic systems with time delays. Zbl 0854.35122
Pao, C. V.
1995
Global asymptotic stability of Lotka–Volterra 3-species reaction–diffusion systems with time delays. Zbl 1031.35071
Pao, C. V.
2003
Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0993.65094
Pao, C. V.
2001
Positive solutions of a nonlinear boundary-value problem of parabolic type. Zbl 0326.35041
Pao, C. V.
1976
Stability and attractivity of periodic solutions of parabolic systems with time delays. Zbl 1063.35020
Pao, C. V.
2005
Quasilinear parabolic and elliptic equations with nonlinear boundary conditions. Zbl 1105.35053
Pao, C. V.
2007
Block monotone iterative methods for numerical solutions of nonlinear elliptic equations. Zbl 0838.65104
Pao, C. V.
1995
Numerical methods for semilinear parabolic equations. Zbl 0623.65100
Pao, C. V.
1987
Accelerated monotone iterative methods for finite difference equations of reaction-diffusion. Zbl 0911.65075
Pao, C. V.
1998
Finite difference reaction-diffusion systems with coupled boundary conditions and time delays. Zbl 1014.65074
Pao, C. V.
2002
Finite difference reaction diffusion equations with nonlinear boundary conditions. Zbl 0832.65095
Pao, C. V.
1995
Bifurcation analysis on a nonlinear diffusion system in reactor dynamics. Zbl 0404.45009
Pao, C. V.
1979
Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition. Zbl 1188.35100
Pao, C. V.; Ruan, W. H.
2010
Logarithmic derivative of a square matrix. Zbl 0246.15021
Pao, C. V.
1973
Positive solutions and dynamics of a finite difference reaction-diffusion system. Zbl 0776.65058
Pao, C. V.
1993
Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type. Zbl 0398.35007
Pao, C. V.
1978
Solution of a nonlinear integrodifferential system arising in nuclear reactor dynamics. Zbl 0293.45016
Pao, C. V.
1974
Quasilinear parabolic and elliptic systems with mixed quasimonotone functions. Zbl 1327.35201
Pao, C. V.; Ruan, W. H.
2013
Dynamics of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0822.35070
Pao, C. V.
1995
Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems. Zbl 1071.65138
Pao, C. V.; Lu, Xin
2003
Successive approximations of some nonlinear initial-boundary value problems. Zbl 0244.35051
Pao, C. V.
1974
Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems. Zbl 1057.65025
Pao, C. V.
2003
Numerical methods for fourth-order nonlinear elliptic boundary value problems. Zbl 0989.65120
Pao, C. V.
2001
Comparison methods and stability analysis of reaction diffusion systems. Zbl 0832.35076
Pao, C. V.
1994
Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion. Zbl 0699.65070
Pao, C. V.
1989
Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions. Zbl 1118.65096
Wang, Yuan-Ming; Pao, C. V.
2006
Numerical methods for coupled systems of nonlinear parabolic boundary value problems. Zbl 0713.65053
Pao, C. V.
1990
A further remark on the logarithmic derivatives of a square matrix. Zbl 0257.15016
Pao, C. V.
1973
The global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays. Zbl 1121.35021
Pao, C. V.
2007
Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems. Zbl 1004.65092
Pao, C. V.
2001
Finite difference reaction-diffusion equations with nonlinear diffusion coefficients. Zbl 0962.65073
Wang, Jianhua; Pao, C. V.
2000
Positive steady-state solutions of a competing reaction-diffusion system. Zbl 0923.35063
Ruan, W. H.; Pao, C. V.
1995
Mathematical analysis of enzyme-substrate reaction diffusion in some biochemical systems. Zbl 0431.92014
Pao, C. V.
1980
Numerical methods for systems of nonlinear parabolic equations with time delays. Zbl 0941.65083
Pao, C. V.
1999
Numerical solutions for some coupled systems of nonlinear boundary value problems. Zbl 0632.65111
Pao, C. V.
1987
Periodic solutions of coupled semilinear parabolic boundary value problems. Zbl 0499.35012
Liu, Bao-Ping; Pao, C. V.
1982
Reaction diffusion equations with nonlinear boundary conditions. Zbl 0519.35038
Pao, C. V.
1981
A mixed initial boundary-value problem arising in neurophysiology. Zbl 0314.92003
Pao, C. V.
1975
Nonlinear fourth-order elliptic equations with nonlocal boundary conditions. Zbl 1198.35100
Pao, C. V.; Wang, Yuan-Ming
2010
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
1996
Asymptotic behavior and positive solutions of a chemical reaction diffusion system. Zbl 0799.35122
Ruan, W. H.; Pao, C. V.
1992
Qualitative analysis of a coupled reaction-diffusion model in biology with time delays. Zbl 0583.92012
Pao, C. V.; Mahaffy, J. M.
1985
Positive solution of a nonlinear diffusion system arising in chemical reactors. Zbl 0281.35045
Pao, C. V.
1974
Block monotone iterative method for semilinear parabolic equations with nonlinear boundary conditions. Zbl 1213.35038
Pao, C. V.; Lu, Xin
2010
Parabolic systems in unbounded domains. I: Existence and dynamics. Zbl 0895.35046
Pao, C. V.
1998
Asymptotic stability of a coupled diffusion system arising from gas- liquid reactions. Zbl 0502.35054
Pao, C. V.
1982
On nonlinear neutron transport equations. Zbl 0269.45018
Pao, C. V.
1973
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
2007
Numerical methods for nonlinear integro-parabolic equations of Fredholm type. Zbl 0986.65146
Pao, C. V.
2001
Periodic solutions of parabolic systems with time delays. Zbl 0967.35061
Pao, C. V.
2000
Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay. Zbl 0919.65056
Pao, C. V.
1998
On a coupled reaction diffusion system with time delays. Zbl 0657.35127
Pao, C. V.
1987
Existence and dynamics of quasilinear parabolic systems with time delays. Zbl 1328.35101
Pao, C. V.; Ruan, W. H.
2015
Global attractors of reaction-diffusion systems modeling food chain populations with delays. Zbl 1228.35256
Feng, Wei; Pao, C. V.; Lu, Xin
2011
Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions. Zbl 1160.65054
Pao, C. V.
2007
Periodic solutions of systems of parabolic equations in unbounded domains. Zbl 0953.35013
Pao, C. V.
2000
Parabolic systems in unbounded domains. II: Equations with time delays. Zbl 0938.35080
Pao, C. V.
1998
Blowing-up and asymptotic behaviour of solutions for a finite difference system. Zbl 0891.65100
Pao, C. V.
1996
Nonlinear elliptic systems in unbounded domains. Zbl 0807.35045
Pao, C. V.
1994
Nonexistence of global solutions for an integrodifferential system in reactor dynamics. Zbl 0449.45011
Pao, C. V.
1980
Asymptotic behavior of the solution for the time-dependent neutron transport problem. Zbl 0441.45014
Pao, C. V.
1979
Solution of a nonlinear Boltzmann equation for neutron transport in L$$^1$$ space. Zbl 0261.45010
Pao, C. V.
1973
On the stability of nonlinear operator differential equations, and applications. Zbl 0187.08801
Pao, C. V.; Vogt, W. G.
1969
Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function. Zbl 1326.35406
Pao, C. V.
2016
Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion. Zbl 1297.35042
Pao, C. V.
2015
A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion. Zbl 1284.35240
Pao, C. V.
2014
Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer. Zbl 1147.35105
Chang, Yu-Hsien; Jau, Guo-Chin; Pao, C. V.
2008
Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems. Zbl 1117.65174
Pao, C. V.
2007
Monotone methods for a finite difference system of reaction diffusion equation with time delay. Zbl 0933.65099
Pao, C. V.
1998
Dynamics of weakly coupled parabolic systems with nonlocal boundary conditions. Zbl 0923.35072
Pao, C. V.
1997
Asymptotic behavior of a reaction-diffusion system in bacteriology. Zbl 0583.92013
Pao, C. V.
1985
Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions. Zbl 1329.65251
Pao, C. V.; Wang, Yuan-Ming
2016
Numerical methods for a coupled system of differential equations arising from a thermal ignition problem. Zbl 1273.80006
Pao, C. V.; Chang, Yu-Hsien; Jau, Guo-Chin
2013
Time delayed parabolic systems with coupled nonlinear boundary conditions. Zbl 0993.35039
Pao, C. V.
2002
Multiple solutions of a boundary-value problem in enzyme kinetics. Zbl 0613.92010
Pao, C. V.; Zhou, L.; Jin, X. J.
1985
Integral representation of a generalized diffusion model in population problems. Zbl 0553.35044
Liu, Bao-Ping; Pao, C. V.
1984
Green’s function method for periodic traveling wave solutions of the KdV equation. Zbl 0515.35077
Liu, Bao-Ping; Pao, C. V.
1983
Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory. Zbl 0476.35047
Pao, C. V.
1981
Asymptotic stability and non-existence of global solution for a semi- linear parabolic equation. Zbl 0442.35007
Pao, C. V.
1979
Nonexistence of global solutions and bifurcation analysis for a boundary- value problem of parabolic type. Zbl 0369.35027
Pao, C. V.
1977
Global attractors of some predator-prey reaction-diffusion systems with density-dependent diffusion and time-delays. Zbl 1390.35030
Pao, C. V.
2018
Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions. Zbl 1386.35210
Pao, C. V.; Ruan, W. H.
2017
Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function. Zbl 1326.35406
Pao, C. V.
2016
Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions. Zbl 1329.65251
Pao, C. V.; Wang, Yuan-Ming
2016
Existence and dynamics of quasilinear parabolic systems with time delays. Zbl 1328.35101
Pao, C. V.; Ruan, W. H.
2015
Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion. Zbl 1297.35042
Pao, C. V.
2015
Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations. Zbl 1327.35185
Pao, C. V.
2015
A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion. Zbl 1284.35240
Pao, C. V.
2014
Quasilinear parabolic and elliptic systems with mixed quasimonotone functions. Zbl 1327.35201
Pao, C. V.; Ruan, W. H.
2013
Numerical methods for a coupled system of differential equations arising from a thermal ignition problem. Zbl 1273.80006
Pao, C. V.; Chang, Yu-Hsien; Jau, Guo-Chin
2013
Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition. Zbl 1242.35154
Ruan, W. H.; Pao, C. V.
2012
On a Lotka-Volterra predator-prey reaction diffusion system with density-dependent diffusion. Zbl 1288.35297
Pao, C. V.
2012
Global attractors of reaction-diffusion systems modeling food chain populations with delays. Zbl 1228.35256
Feng, Wei; Pao, C. V.; Lu, Xin
2011
Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition. Zbl 1188.35100
Pao, C. V.; Ruan, W. H.
2010
Nonlinear fourth-order elliptic equations with nonlocal boundary conditions. Zbl 1198.35100
Pao, C. V.; Wang, Yuan-Ming
2010
Block monotone iterative method for semilinear parabolic equations with nonlinear boundary conditions. Zbl 1213.35038
Pao, C. V.; Lu, Xin
2010
Eigenvalue problems of a degenerate quasilinear elliptic equation. Zbl 1190.35108
Pao, C. V.
2010
Singular reaction diffusion equations of porous medium type. Zbl 1167.35402
Pao, C. V.
2009
Fourth-order boundary value problems with multi-point boundary conditions. Zbl 1360.34040
Pao, C. V.; Wang, Yuan-Ming
2009
Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer. Zbl 1147.35105
Chang, Yu-Hsien; Jau, Guo-Chin; Pao, C. V.
2008
Numerical solutions of a three-competition Lotka-Volterra system. Zbl 1168.65035
Pao, C. V.; Wang, Yuan-Ming
2008
Dynamics of a quasilinear reaction diffusion equation with singular reaction functions. Zbl 1178.35211
Pao, C. V.; Ruan, W. H.
2008
Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions. Zbl 1120.35049
Pao, C. V.; Ruan, W. H.
2007
Quasilinear parabolic and elliptic equations with nonlinear boundary conditions. Zbl 1105.35053
Pao, C. V.
2007
The global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays. Zbl 1121.35021
Pao, C. V.
2007
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
2007
Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions. Zbl 1160.65054
Pao, C. V.
2007
Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems. Zbl 1117.65174
Pao, C. V.
2007
Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions. Zbl 1118.65096
Wang, Yuan-Ming; Pao, C. V.
2006
Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion. Zbl 1074.35034
Pao, C. V.
2005
Stability and attractivity of periodic solutions of parabolic systems with time delays. Zbl 1063.35020
Pao, C. V.
2005
Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays. Zbl 1066.92054
Pao, C. V.
2004
Global asymptotic stability of Lotka–Volterra 3-species reaction–diffusion systems with time delays. Zbl 1031.35071
Pao, C. V.
2003
Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems. Zbl 1071.65138
Pao, C. V.; Lu, Xin
2003
Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems. Zbl 1057.65025
Pao, C. V.
2003
Global attractor of a coupled finite difference reaction diffusion system with delays. Zbl 1048.35010
Pao, C. V.
2003
Convergence of solutions of reaction-diffusion systems with time delays. Zbl 0992.35105
Pao, C. V.
2002
Finite difference reaction-diffusion systems with coupled boundary conditions and time delays. Zbl 1014.65074
Pao, C. V.
2002
Time delayed parabolic systems with coupled nonlinear boundary conditions. Zbl 0993.35039
Pao, C. V.
2002
Entire solutions of discrete elliptic equations. Zbl 1040.39007
Pao, C. V.; Cheng, S. S.
2002
Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0993.65094
Pao, C. V.
2001
Numerical methods for fourth-order nonlinear elliptic boundary value problems. Zbl 0989.65120
Pao, C. V.
2001
Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems. Zbl 1004.65092
Pao, C. V.
2001
Numerical methods for nonlinear integro-parabolic equations of Fredholm type. Zbl 0986.65146
Pao, C. V.
2001
Quenching problem of a functional parabolic equation. Zbl 0994.35069
Pao, C. V.
2001
Reaction diffusion systems with time delays in a half-space domain. Zbl 1042.35576
Pao, C. V.
2001
On fourth-order elliptic boundary value problems. Zbl 0940.35070
Pao, C. V.
2000
Finite difference reaction-diffusion equations with nonlinear diffusion coefficients. Zbl 0962.65073
Wang, Jianhua; Pao, C. V.
2000
Periodic solutions of parabolic systems with time delays. Zbl 0967.35061
Pao, C. V.
2000
Periodic solutions of systems of parabolic equations in unbounded domains. Zbl 0953.35013
Pao, C. V.
2000
Dynamics of a Volterra-Lotka competition model with diffusion and time delays. Zbl 0972.35053
Pao, C. V.
2000
Quenching problem of a reaction-diffusion equation with time delay. Zbl 0966.35063
Pao, C. V.
2000
Periodic solutions of parabolic systems with nonlinear boundary conditions. Zbl 0932.35111
Pao, C. V.
1999
Numerical methods for systems of nonlinear parabolic equations with time delays. Zbl 0941.65083
Pao, C. V.
1999
Positive solutions and dynamics of some reaction diffusion models in HIV transmission. Zbl 0914.92022
Yang, Z. P.; Pao, C. V.
1999
Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0920.35030
Pao, C. V.
1998
Numerical analysis of coupled systems of nonlinear parabolic equations. Zbl 0921.65061
Pao, C. V.
1998
Accelerated monotone iterative methods for finite difference equations of reaction-diffusion. Zbl 0911.65075
Pao, C. V.
1998
Parabolic systems in unbounded domains. I: Existence and dynamics. Zbl 0895.35046
Pao, C. V.
1998
Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay. Zbl 0919.65056
Pao, C. V.
1998
Parabolic systems in unbounded domains. II: Equations with time delays. Zbl 0938.35080
Pao, C. V.
1998
Monotone methods for a finite difference system of reaction diffusion equation with time delay. Zbl 0933.65099
Pao, C. V.
1998
Dynamics of a finite difference system of reaction-diffusion equations with time delay. Zbl 0905.34063
Pao, C. V.
1998
Systems of parabolic equations with continuous and discrete delays. Zbl 0880.35126
Pao, C. V.
1997
Dynamics of weakly coupled parabolic systems with nonlocal boundary conditions. Zbl 0923.35072
Pao, C. V.
1997
Dynamics of reaction-diffusion systems and applications. Zbl 0890.35063
Pao, C. V.
1997
Dynamics of nonlinear parabolic systems with time delays. Zbl 0860.35138
Pao, C. V.
1996
Quasisolutions and global attractor of reaction-diffusion systems. Zbl 0853.35056
Pao, C. V.
1996
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
1996
Blowing-up and asymptotic behaviour of solutions for a finite difference system. Zbl 0891.65100
Pao, C. V.
1996
Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions. Zbl 0851.35063
Pao, C. V.
1995
Coupled nonlinear parabolic systems with time delays. Zbl 0854.35122
Pao, C. V.
1995
Block monotone iterative methods for numerical solutions of nonlinear elliptic equations. Zbl 0838.65104
Pao, C. V.
1995
Finite difference reaction diffusion equations with nonlinear boundary conditions. Zbl 0832.65095
Pao, C. V.
1995
Dynamics of reaction-diffusion equations with nonlocal boundary conditions. Zbl 0822.35070
Pao, C. V.
1995
Positive steady-state solutions of a competing reaction-diffusion system. Zbl 0923.35063
Ruan, W. H.; Pao, C. V.
1995
Dynamics of a reaction diffusion system arising from ecology. Zbl 0834.35066
Pao, C. V.
1995
Comparison methods and stability analysis of reaction diffusion systems. Zbl 0832.35076
Pao, C. V.
1994
Nonlinear elliptic systems in unbounded domains. Zbl 0807.35045
Pao, C. V.
1994
Positive solutions and dynamics of a finite difference reaction-diffusion system. Zbl 0776.65058
Pao, C. V.
1993
Nonlinear parabolic and elliptic equations. Zbl 0777.35001
Pao, Chia-Ven
1992
Nonlinear elliptic boundary-value problems in unbounded domains. Zbl 0780.35044
Pao, C. V.
1992
Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory. Zbl 0762.35049
Pao, C. V.
1992
Asymptotic behavior and positive solutions of a chemical reaction diffusion system. Zbl 0799.35122
Ruan, W. H.; Pao, C. V.
1992
Numerical methods for coupled systems of nonlinear parabolic boundary value problems. Zbl 0713.65053
Pao, C. V.
1990
Convergence of coupled systems of nonlinear finite difference elliptic equations. Zbl 0726.65114
Pao, C. V.
1990
Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion. Zbl 0699.65070
Pao, C. V.
1989
Asymptotic behavior of solutions for the Belousov-Zhabotinskii reaction diffusion system. Zbl 0733.35057
Pao, C. V.
1988
Numerical methods for semilinear parabolic equations. Zbl 0623.65100
Pao, C. V.
1987
Numerical solutions for some coupled systems of nonlinear boundary value problems. Zbl 0632.65111
Pao, C. V.
1987
On a coupled reaction diffusion system with time delays. Zbl 0657.35127
Pao, C. V.
1987
Numerical methods for the linear Boltzmann transport equation in slab geometry. Zbl 0647.65095
Pao, C. V.
1986
Monotone iterative methods for finite difference system of reaction- diffusion equations. Zbl 0589.65072
Pao, C. V.
1985
Qualitative analysis of a coupled reaction-diffusion model in biology with time delays. Zbl 0583.92012
Pao, C. V.; Mahaffy, J. M.
1985
Asymptotic behavior of a reaction-diffusion system in bacteriology. Zbl 0583.92013
Pao, C. V.
1985
Multiple solutions of a boundary-value problem in enzyme kinetics. Zbl 0613.92010
Pao, C. V.; Zhou, L.; Jin, X. J.
1985
Almost periodic plane wave solutions for reaction diffusion equations. Zbl 0568.35050
Liu, Baoping; Pao, C. V.
1985
Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue. Zbl 0588.35017
Pao, C. V.
1985
Convergence of the discrete-ordinates method for transport equations in multidimensional domains. Zbl 0575.65142
Pao, C. V.
1985
Models of genetic control by repression with time delays and spatial effects. Zbl 0577.92010
Mahaffy, J. M.; Pao, C. V.
1984
...and 53 more Documents
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#### Cited by 1,705 Authors

 99 Pao, Chia-Ven 44 Lin, Zhigui 41 Wang, Yuanming 30 Wang, Mingxin 28 Mu, Chunlai 23 Butuzov, Valentin Fëdorovich 22 Xie, Chunhong 21 Boglaev, Igor P. 18 Nefedov, Nikolaĭ Nikolaevich 18 Zheng, Sining 16 Ahn, Inkyung 16 Feng, Wei 16 Ko, Wonlyul 16 Liu, Bingchen 16 Suárez, Antonio 16 Wei, Junjie 15 Wu, Jianhua 14 Lu, Xin 14 Mo, Jiaqi 14 Ruan, Weihua 13 Li, Fengjie 13 Yang, Zuodong 13 Zhou, Jun 13 Zhou, Li 12 Ambrazevičius, Algirdas 12 Rossi, Julio Daniel 12 Shi, Junping 12 Tian, Canrong 10 Gao, Wenjie 10 Leung, Anthony Wing-Kwok 10 Wang, Shu 10 Yin, Jingxue 9 Carl, Siegfried 9 Chaplain, Mark A. J. 9 Chen, Youpeng 9 Deng, Keng 9 Deng, Weibing 9 Gil’, Michael Iosif 9 Kim, Kwang Ik 9 Li, Wan-Tong 9 Li, Zhaoxiang 9 Ryu, Kimun 9 Wang, Yifu 8 Delgado, Manuel 8 Fang, Zhongbo 8 Lou, Yuan 8 Ruan, Shigui 8 Schneider, Klaus R. 7 Chen, Shanshan 7 Li, Lige 7 Li, Yuxiang 7 Lin, Guo 7 Song, Xianfa 7 Tang, Yanbin 7 Wang, Jinfeng 7 Xu, Rui 7 Yang, Zhonghua 7 Zhu, Hailong 6 Al-Refai, Mohammed 6 Fu, Shengmao 6 García-Melián, Jorge 6 Ge, Jing 6 Groisman, Pablo 6 Jia, Yunfeng 6 Kohaupt, Ludwig G. 6 Li, Huiling 6 Li, Zhongping 6 Ma, Zhanping 6 Recke, Lutz 6 Skakauskas, Vladas 6 Slodička, Marián 6 Vatsala, Aghalaya S. 6 Wang, Changyou 6 Wen, Zijuan 5 Ackleh, Azmy S. 5 Agarwal, Ravi P. 5 Chen, Shaohua 5 Davidson, Fordyce A. 5 Du, Lili 5 Du, Yihong 5 Gan, Wenzhen 5 Gladkov, Alexander L’vovich 5 Han, Yuzhu 5 Lakshmikantham, Vangipuram 5 Li, Yanling 5 Liu, Qilin 5 Liu, Zijian 5 Liu, Zuhan 5 Ma, Ruyun 5 Mahaffy, Joseph M. 5 Morales-Rodrigo, Cristian 5 Negreanu, Mihaela 5 Pachpatte, Baburao Govindrao 5 Pedersen, Michael Østergaard 5 Sturrock, Marc 5 Tan, Qijian 5 Tarboush, Abdelrazig K. 5 Xiang, Zhaoyin 5 Zhang, Jianyun 5 Zhang, Xuebing ...and 1,605 more Authors
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#### Cited in 242 Serials

 199 Journal of Mathematical Analysis and Applications 94 Applied Mathematics and Computation 90 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 72 Nonlinear Analysis. Real World Applications 59 Journal of Differential Equations 59 Nonlinear Analysis. Theory, Methods & Applications 55 Computers & Mathematics with Applications 52 Journal of Computational and Applied Mathematics 35 Applicable Analysis 31 Applied Mathematics Letters 28 Boundary Value Problems 24 Mathematical Methods in the Applied Sciences 24 Mathematical and Computer Modelling 19 Advances in Difference Equations 18 Acta Applicandae Mathematicae 17 Applied Numerical Mathematics 17 Abstract and Applied Analysis 16 Journal of Mathematical Biology 16 Discrete and Continuous Dynamical Systems. Series B 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Bulletin of Mathematical Biology 14 Proceedings of the American Mathematical Society 14 Applied Mathematics and Mechanics. (English Edition) 14 Acta Mathematicae Applicatae Sinica. English Series 14 Communications on Pure and Applied Analysis 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 International Journal of Computer Mathematics 12 Differential Equations 11 Chaos, Solitons and Fractals 11 Numerische Mathematik 11 Applied Mathematics. Series B (English Edition) 11 International Journal of Biomathematics 10 Mathematical Biosciences 10 Computational Mathematics and Mathematical Physics 10 Applied Mathematical Modelling 10 Communications in Nonlinear Science and Numerical Simulation 9 Numerical Methods for Partial Differential Equations 8 Numerical Functional Analysis and Optimization 8 Discrete Dynamics in Nature and Society 8 Acta Mathematica Sinica. English Series 8 Mathematical Biosciences and Engineering 7 Journal of Computational Physics 7 Journal of Theoretical Biology 7 Journal of Applied Analysis and Computation 6 Journal of Mathematical Physics 6 Rocky Mountain Journal of Mathematics 6 Transport Theory and Statistical Physics 6 International Journal of Mathematics and Mathematical Sciences 6 Transactions of the American Mathematical Society 6 Journal of Scientific Computing 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Algorithms 6 Linear Algebra and its Applications 6 Journal of Dynamics and Differential Equations 6 Journal of Mathematical Sciences (New York) 6 Engineering Analysis with Boundary Elements 6 Journal of Inequalities and Applications 6 Journal of Dynamical and Control Systems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Physica D 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 SIAM Journal on Applied Mathematics 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Dynamics 4 Mathematische Nachrichten 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 The ANZIAM Journal 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of the Franklin Institute 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 Calcolo 3 Computing 3 Journal of Optimization Theory and Applications 3 Kybernetika 3 Quarterly of Applied Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Science in China. Series A 3 SIAM Journal on Mathematical Analysis 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Complexity 3 Journal of Difference Equations and Applications 3 Journal of Mathematical Chemistry 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Nonlinear Analysis. Modelling and Control 3 Advanced Nonlinear Studies 3 Journal of Numerical Mathematics 3 Journal of Biological Dynamics 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Physics Letters. A 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki ...and 142 more Serials
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#### Cited in 41 Fields

 1,280 Partial differential equations (35-XX) 535 Biology and other natural sciences (92-XX) 292 Numerical analysis (65-XX) 171 Ordinary differential equations (34-XX) 89 Integral equations (45-XX) 72 Operator theory (47-XX) 56 Dynamical systems and ergodic theory (37-XX) 42 Fluid mechanics (76-XX) 39 Systems theory; control (93-XX) 38 Classical thermodynamics, heat transfer (80-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 26 Statistical mechanics, structure of matter (82-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Mechanics of deformable solids (74-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Difference and functional equations (39-XX) 13 Probability theory and stochastic processes (60-XX) 9 Functional analysis (46-XX) 8 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1