Pao, C. V.; Ruan, W. H. Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions. (English) Zbl 1386.35210 J. Differ. Equations 263, No. 11, 7709-7752 (2017). MSC: 35K57 35J56 35D30 35K65 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{W. H. Ruan}, J. Differ. Equations 263, No. 11, 7709--7752 (2017; Zbl 1386.35210) Full Text: DOI
Pao, C. V.; Ruan, W. H. Existence and dynamics of quasilinear parabolic systems with time delays. (English) Zbl 1328.35101 J. Differ. Equations 258, No. 9, 3248-3285 (2015). MSC: 35K57 35K65 92D25 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{W. H. Ruan}, J. Differ. Equations 258, No. 9, 3248--3285 (2015; Zbl 1328.35101) Full Text: DOI
Pao, C. V. Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations. (English) Zbl 1327.35185 Nonlinear Anal., Real World Appl. 23, 47-60 (2015). MSC: 35K57 35K65 92D25 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Real World Appl. 23, 47--60 (2015; Zbl 1327.35185) Full Text: DOI
Pao, C. V. Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion. (English) Zbl 1297.35042 J. Math. Anal. Appl. 421, No. 2, 1721-1742 (2015). MSC: 35B40 92D25 35K57 35K51 35K65 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 421, No. 2, 1721--1742 (2015; Zbl 1297.35042) Full Text: DOI
Pao, C. V. A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion. (English) Zbl 1284.35240 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 460-467 (2014). MSC: 35K65 35K57 35B40 92D25 35K59 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 460--467 (2014; Zbl 1284.35240) Full Text: DOI
Pao, C. V. On a Lotka-Volterra predator-prey reaction diffusion system with density-dependent diffusion. (English) Zbl 1288.35297 Commun. Appl. Anal. 16, No. 4, 641-654 (2012). Reviewer: Eva Sánchez (Madrid) MSC: 35K57 35B40 92D25 35K51 35K59 PDFBibTeX XMLCite \textit{C. V. Pao}, Commun. Appl. Anal. 16, No. 4, 641--654 (2012; Zbl 1288.35297)
Feng, Wei; Pao, C. V.; Lu, Xin Global attractors of reaction-diffusion systems modeling food chain populations with delays. (English) Zbl 1228.35256 Commun. Pure Appl. Anal. 10, No. 5, 1463-1478 (2011). MSC: 35Q92 35K57 35B40 92D25 PDFBibTeX XMLCite \textit{W. Feng} et al., Commun. Pure Appl. Anal. 10, No. 5, 1463--1478 (2011; Zbl 1228.35256) Full Text: DOI
Pao, C. V.; Ruan, W. H. Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition. (English) Zbl 1188.35100 J. Differ. Equations 248, No. 5, 1175-1211 (2010). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K51 35K59 35B40 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{W. H. Ruan}, J. Differ. Equations 248, No. 5, 1175--1211 (2010; Zbl 1188.35100) Full Text: DOI
Pao, C. V. Singular reaction diffusion equations of porous medium type. (English) Zbl 1167.35402 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2033-2052 (2009). MSC: 35K57 35K65 35B40 35K60 35K55 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2033--2052 (2009; Zbl 1167.35402) Full Text: DOI
Pao, C. V.; Ruan, W. H. Dynamics of a quasilinear reaction diffusion equation with singular reaction functions. (English) Zbl 1178.35211 Can. Appl. Math. Q. 16, No. 1, 95-108 (2008). MSC: 35K60 35K57 35K65 35B40 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{W. H. Ruan}, Can. Appl. Math. Q. 16, No. 1, 95--108 (2008; Zbl 1178.35211)
Pao, C. V.; Wang, Yuan-Ming Numerical solutions of a three-competition Lotka-Volterra system. (English) Zbl 1168.65035 Appl. Math. Comput. 204, No. 1, 423-440 (2008). Reviewer: Ziwen Jiang (Shandong) MSC: 65L05 34A34 65L12 65L20 92D25 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{Y.-M. Wang}, Appl. Math. Comput. 204, No. 1, 423--440 (2008; Zbl 1168.65035) Full Text: DOI
Chang, Yu-Hsien; Jau, Guo-Chin; Pao, C. V. Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer. (English) Zbl 1147.35105 Nonlinear Anal., Real World Appl. 9, No. 3, 822-829 (2008). MSC: 35Q80 35B40 35F30 80A20 80A25 PDFBibTeX XMLCite \textit{Y.-H. Chang} et al., Nonlinear Anal., Real World Appl. 9, No. 3, 822--829 (2008; Zbl 1147.35105) Full Text: DOI
Pao, C. V. The global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays. (English) Zbl 1121.35021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 9, 2623-2631 (2007). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35B41 35K57 35K50 35B40 35R10 92D25 37L30 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 9, 2623--2631 (2007; Zbl 1121.35021) Full Text: DOI
Pao, C. V.; Ruan, W. H. Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions. (English) Zbl 1120.35049 J. Math. Anal. Appl. 333, No. 1, 472-499 (2007). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K50 35K65 35A05 35B40 35K60 PDFBibTeX XMLCite \textit{C. V. Pao} and \textit{W. H. Ruan}, J. Math. Anal. Appl. 333, No. 1, 472--499 (2007; Zbl 1120.35049) Full Text: DOI
Pao, C. V. Quasilinear parabolic and elliptic equations with nonlinear boundary conditions. (English) Zbl 1105.35053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 3, 639-662 (2007). MSC: 35K60 35K57 35B40 35J70 35J65 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 3, 639--662 (2007; Zbl 1105.35053) Full Text: DOI
Pao, C. V. Global attractor of coupled difference equations and applications to Lotka-Volterra systems. (English) Zbl 1081.39004 Adv. Difference Equ. 2005, No. 1, 57-79 (2005). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{C. V. Pao}, Adv. Difference Equ. 2005, No. 1, 57--79 (2005; Zbl 1081.39004) Full Text: DOI EuDML
Pao, C. V. Convergence of solutions of reaction-diffusion systems with time delays. (English) Zbl 0992.35105 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 3, 349-362 (2002). Reviewer: Dian K.Palagachev (Bari) MSC: 35R10 35K57 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 3, 349--362 (2002; Zbl 0992.35105) Full Text: DOI
Pao, C. V. Quenching problem of a reaction-diffusion equation with time delay. (English) Zbl 0966.35063 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1-2, 133-142 (2000). Reviewer: C.Y.Chan (Lafayette) MSC: 35K57 35B05 35R10 35B40 35K60 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1--2, 133--142 (2000; Zbl 0966.35063) Full Text: DOI
Pao, C. V. Dynamics of a Volterra-Lotka competition model with diffusion and time delays. (English) Zbl 0972.35053 Agarwal, Ravi P. (ed.) et al., Integral and integrodifferential equations: Theory, methods and applications. Amsterdam: Gordon and Breach Science Publishers. Ser. Math. Anal. Appl. 2, 269-277 (2000). Reviewer: Sebastian Aniţa (Iaşi) MSC: 35K57 35B40 92D25 35R10 PDFBibTeX XMLCite \textit{C. V. Pao}, Ser. Math. Anal. Appl. 2, 269--277 (2000; Zbl 0972.35053)
Pao, C. V. Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions. (English) Zbl 0920.35030 J. Comput. Appl. Math. 88, No. 1, 225-238 (1998). Reviewer: B.Kawohl (Köln) MSC: 35B40 35K20 35K57 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Comput. Appl. Math. 88, No. 1, 225--238 (1998; Zbl 0920.35030) Full Text: DOI
Pao, C. V. Parabolic systems in unbounded domains. I: Existence and dynamics. (English) Zbl 0895.35046 J. Math. Anal. Appl. 217, No. 1, 129-160 (1998). Reviewer: R.Sperb (Zürich) MSC: 35K50 35B40 35K55 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 217, No. 1, 129--160 (1998; Zbl 0895.35046) Full Text: DOI
Pao, C. V. Dynamics of weakly coupled parabolic systems with nonlocal boundary conditions. (English) Zbl 0923.35072 Sivasundaram, S. (ed.) et al., Advances in nonlinear dynamics. Langhorne, PA: Gordon and Breach. Stab. Control Theory Methods Appl. 5, 319-327 (1997). Reviewer: W.Watzlawek (Konstanz) MSC: 35K50 35K60 PDFBibTeX XMLCite \textit{C. V. Pao}, Stab. Control Theory Methods Appl. 5, 319--327 (1997; Zbl 0923.35072)
Pao, C. V. Quasisolutions and global attractor of reaction-diffusion systems. (English) Zbl 0853.35056 Nonlinear Anal., Theory Methods Appl. 26, No. 12, 1889-1903 (1996). Reviewer: S.Jimbo (Sapporo) MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl. 26, No. 12, 1889--1903 (1996; Zbl 0853.35056) Full Text: DOI
Pao, C. V. Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions. (English) Zbl 0851.35063 J. Math. Anal. Appl. 195, No. 3, 702-718 (1995). Reviewer: G.Sviridyuk (Chelyabinsk) MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 195, No. 3, 702--718 (1995; Zbl 0851.35063) Full Text: DOI
Pao, C. V. Dynamics of a reaction diffusion system arising from ecology. (English) Zbl 0834.35066 Nonlinear Times Dig. 2, No. 1, 47-57 (1995). Reviewer: C.Y.Chan (Lafayette) MSC: 35K57 35K50 35B32 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Times Dig. 2, No. 1, 47--57 (1995; Zbl 0834.35066)
Pao, C. V. Dynamics of reaction-diffusion equations with nonlocal boundary conditions. (English) Zbl 0822.35070 Q. Appl. Math. 53, No. 1, 173-186 (1995). MSC: 35K57 35B40 35K20 PDFBibTeX XMLCite \textit{C. V. Pao}, Q. Appl. Math. 53, No. 1, 173--186 (1995; Zbl 0822.35070) Full Text: DOI
Pao, C. V. Asymptotic behavior of solutions for the Belousov-Zhabotinskii reaction diffusion system. (English) Zbl 0733.35057 J. Partial Differ. Equations, Ser. A 1, No. 1, 61-66 (1988). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Partial Differ. Equations, Ser. A 1, No. 1, 61--66 (1988; Zbl 0733.35057)
Pao, C. V. On a coupled reaction diffusion system with time delays. (English) Zbl 0657.35127 SIAM J. Math. Anal. 18, 1026-1039 (1987). MSC: 35R10 35K60 35B40 35K20 35A05 35B35 PDFBibTeX XMLCite \textit{C. V. Pao}, SIAM J. Math. Anal. 18, 1026--1039 (1987; Zbl 0657.35127) Full Text: DOI
Pao, C. V. Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue. (English) Zbl 0588.35017 Nonlinear Anal., Theory Methods Appl. 9, 1037-1059 (1985). Reviewer: J.M.Cushing MSC: 35F30 35B05 35B40 35B35 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl. 9, 1037--1059 (1985; Zbl 0588.35017) Full Text: DOI
Pao, C. V. Asymptotic behavior of a reaction-diffusion system in bacteriology. (English) Zbl 0583.92013 J. Math. Anal. Appl. 108, 1-14 (1985). Reviewer: D.A.Quinney MSC: 92D25 35K60 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 108, 1--14 (1985; Zbl 0583.92013) Full Text: DOI
Pao, C. V. Monotone convergence of time-dependent solutions for coupled reaction- diffusion systems. (English) Zbl 0557.35071 Trends in theory and practice of nonlinear differential equations, Proc. int. Conf., Arlington/Tex. 1982, Lect. Notes Pure Appl. Math. 90, 455-465 (1984). Reviewer: H.Brezis MSC: 35K55 35B05 35B40 PDFBibTeX XML
Pao, C. V. Stability of a coupled reaction diffusion system. (English) Zbl 0543.35048 Appl. Anal. 17, 79-86 (1984). Reviewer: V.Capasso MSC: 35K55 35B40 35B35 35R35 PDFBibTeX XMLCite \textit{C. V. Pao}, Appl. Anal. 17, 79--86 (1984; Zbl 0543.35048) Full Text: DOI
Pao, C. V. Asymptotic limit and blowing-up behavior of solutions for a reaction- diffusion system. (English) Zbl 0535.35039 Nonlinear phenomena in mathematical sciences, Proc. int. Conf., Arlington/Tex. 1980, 767-779 (1982). Reviewer: P.K.Mahanti MSC: 35K55 35B40 35K40 35B35 80A25 80A30 PDFBibTeX XML
Zhou, L.; Pao, C. V. Asymptotic behavior of a competition-diffusion system in population dynamics. (English) Zbl 0522.92017 Nonlinear Anal., Theory Methods Appl. 6, 1163-1184 (1982). MSC: 92D25 35B40 35K20 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl. 6, 1163--1184 (1982; Zbl 0522.92017) Full Text: DOI
Pao, C. V. Asymptotic stability of a coupled diffusion system arising from gas- liquid reactions. (English) Zbl 0502.35054 Rocky Mt. J. Math. 12, 55-73 (1982). MSC: 35K60 35K20 35B35 35B40 93D20 35A05 PDFBibTeX XMLCite \textit{C. V. Pao}, Rocky Mt. J. Math. 12, 55--73 (1982; Zbl 0502.35054) Full Text: DOI
Pao, C. V. On nonlinear reaction-diffusion systems. (English) Zbl 0488.35043 J. Math. Anal. Appl. 87, 165-198 (1982). MSC: 35K65 35B35 35B05 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 87, 165--198 (1982; Zbl 0488.35043) Full Text: DOI
Pao, C. V. Reaction diffusion equations with nonlinear boundary conditions. (English) Zbl 0519.35038 Nonlinear Anal., Theory Methods Appl. 5, 1077-1094 (1981). MSC: 35K60 35A05 35B40 35B35 35B05 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl. 5, 1077--1094 (1981; Zbl 0519.35038) Full Text: DOI
Pao, C. V. Stability and instability of the energy dependent diffusion system in reactor dynamics. (English) Zbl 0481.35019 Math. Methods Appl. Sci. 3, 488-505 (1981). MSC: 35B35 35B40 82D45 35K10 35A05 PDFBibTeX XMLCite \textit{C. V. Pao}, Math. Methods Appl. Sci. 3, 488--505 (1981; Zbl 0481.35019) Full Text: DOI
Pao, C. V. Coexistence and stability of a competition-diffusion system in population dynamics. (English) Zbl 0479.92013 J. Math. Anal. Appl. 83, 54-76 (1981). MSC: 92D25 35B35 35K20 35K15 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 83, 54--76 (1981; Zbl 0479.92013) Full Text: DOI
Pao, C. V. Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory. (English) Zbl 0476.35047 J. Math. Anal. Appl. 82, 503-526 (1981). MSC: 35K60 35B40 35B35 35A05 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 82, 503--526 (1981; Zbl 0476.35047) Full Text: DOI
Pao, C. V. Asymptotic behavior of neutron transport in a slab with moving boundaries. (English) Zbl 0463.45012 J. Integral Equations 2, 281-298 (1980). MSC: 45K05 45M05 45M10 82C70 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Integral Equations 2, 281--298 (1980; Zbl 0463.45012)
Pao, C. V. Asymptotic behavior of solutions for a parabolic equation with nonlinear boundary conditions. (English) Zbl 0449.35058 Proc. Am. Math. Soc. 80, 587-593 (1980). MSC: 35K60 35B40 35B05 35K20 PDFBibTeX XMLCite \textit{C. V. Pao}, Proc. Am. Math. Soc. 80, 587--593 (1980; Zbl 0449.35058) Full Text: DOI
Pao, C. V. On the blowing-up behaviour of solutions for a parabolic boundary value problem. (English) Zbl 0439.35030 Appl. Anal. 10, 5-13 (1980). MSC: 35K20 35B35 35B40 35B32 PDFBibTeX XMLCite \textit{C. V. Pao}, Appl. Anal. 10, 5--13 (1980; Zbl 0439.35030) Full Text: DOI
Pao, C. V. Asymptotic behavior of the solution for the time-dependent neutron transport problem. (English) Zbl 0441.45014 J. Integral Equations 1, 131-152 (1979). MSC: 45K05 82C70 85A25 82D45 45M05 45M10 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Integral Equations 1, 131--152 (1979; Zbl 0441.45014)
Pao, C. V. Asymptotic behavior and bifurcation analysis for a nonlinear diffusion system arising from gas-liquid absorption. (English) Zbl 0431.76070 Nonlinear Anal., Theory Methods Appl. 3, 101-109 (1979). MSC: 76R05 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl. 3, 101--109 (1979; Zbl 0431.76070) Full Text: DOI
Pao, C. V. Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type. (English) Zbl 0398.35007 J. Math. Anal. Appl. 65, 616-637 (1978). MSC: 35B40 35K20 35B35 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 65, 616--637 (1978; Zbl 0398.35007) Full Text: DOI
Pao, C. V. Nonexistence of global solutions and bifurcation analysis for a boundary- value problem of parabolic type. (English) Zbl 0369.35027 Proc. Am. Math. Soc. 65, 245-251 (1977). MSC: 35K20 35K60 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, Proc. Am. Math. Soc. 65, 245--251 (1977; Zbl 0369.35027) Full Text: DOI
Pao, C. V. Asymptotic behavior of temperature in a nonlinear radiating, linear absorbing rod of finite length. (English) Zbl 0354.35047 Q. Appl. Math. 34, 429-435 (1977). MSC: 35K20 35K05 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, Q. Appl. Math. 34, 429--435 (1977; Zbl 0354.35047) Full Text: DOI
Pao, C. V. Population growth described by a nonlinear boundary value problem of parabolic type. (English) Zbl 0313.35051 Z. angew. Math. Phys. 26, 453-461 (1975). MSC: 35K55 35K20 35B35 35B40 35A05 92D25 PDFBibTeX XMLCite \textit{C. V. Pao}, Z. Angew. Math. Phys. 26, 453--461 (1975; Zbl 0313.35051) Full Text: DOI