# zbMATH — the first resource for mathematics

## Travis, Curtis C.

Compute Distance To:
 Author ID: travis.curtis-c Published as: Travis, C. C.; Travis, Curtis C.
 Documents Indexed: 54 Publications since 1971, including 1 Book
all top 5

#### Co-Authors

 10 single-authored 9 Webb, Glenn Francis 7 Post, Wilfred M. 6 DeAngelis, Donald L. 5 Busenberg, Stavros N. 4 Gentry, Rodney D. 3 Haddock, Glen 3 Keener, Marvin S. 3 Lenhart, Suzanne M. 2 Kreith, Kurt 2 White, Luther W. 2 Yoshida, Norio 2 Young, Eutiquio C. 1 Ahmad, Shair 1 Black, W. D. 1 Perkowski, J. 1 Reddien, George W. jun. 1 Wiarda, D.
all top 5

#### Serials

 6 Mathematical Biosciences 6 Transactions of the American Mathematical Society 5 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 2 Houston Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Theoretical Population Biology 2 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Computers & Mathematics with Applications 1 Journal of Mathematical Biology 1 Colloquium Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Mathematica Japonica 1 Pacific Journal of Mathematics 1 Utilitas Mathematica 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bulletin of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 24 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 980 times in 746 Documents Cited by Year
Existence and stability for partial functional differential equations. Zbl 0299.35085
Travis, C. C.; Webb, G. F.
1974
Cosine families and abstract nonlinear second order differential equations. Zbl 0388.34039
Travis, C. C.; Webb, G. F.
1978
Compactness, regularity, and uniform continuity properties of strongly continuous cosine families. Zbl 0386.47024
Travis, C. C.; Webb, G. F.
1977
Existence, stability, and compactness in the $$\alpha$$-norm for partial functional differential equations. Zbl 0414.34080
Travis, C. C.; Webb, G. F.
1978
Partial differential equations with deviating arguments in the time variable. Zbl 0349.35071
Travis, C. C.; Webb, G. F.
1976
Global stability of a biological model with time delay. Zbl 0602.34044
Lenhart, Suzanne M.; Travis, Curtis C.
1986
Second order differential equations in Banach space. Zbl 0455.34044
Travis, C. C.; Webb, G. F.
1978
An abstract second order semilinear Volterra integrodifferential equation. Zbl 0406.45014
Travis, C. C.; Webb, G. F.
1979
Epidemic models with spatial spread due to population migration. Zbl 0522.92020
Busenberg, Stavros N.; Travis, Curtis C.
1983
Positive cones and focal points for a class of $$n$$th order differential equations. Zbl 0404.35017
Keener, M. S.; Travis, C. C.
1978
Oscillation theorems for second-order differential equations with functional arguments. Zbl 0235.34141
Travis, Curtis C.
1972
Comparison of eigenvalues for linear differential equations of order 2$$n$$. Zbl 0272.34033
Travis, Curtis C.
1973
Comparison of eigenvalues associated with linear differential equations of arbitrary order. Zbl 0339.34012
Gentry, R. D.; Travis, C. C.
1976
Positive feedback in natural systems. Zbl 0594.92001
DeAngelis, D. L.; Post, W. M.; Travis, C. C.
1986
On structural identification. Zbl 0465.93027
1981
On the use of reducible-functional differential equations in biological models. Zbl 0513.34075
Busenberg, Stavros N.; Travis, Curtis C.
1982
Oscillation criteria for selfadjoint elliptic equations. Zbl 0239.35003
Kreith, Kurt; Travis, Curtis C.
1972
Approximation methods for boundary value problems of differential equations with functional arguments. Zbl 0321.65062
Reddien, G. W.; Travis, C. C.
1974
Endemic disease in environments with spatially heterogeneous host populations. Zbl 0528.92018
Post, W. M.; DeAngelis, D. L.; Travis, C. C.
1983
Persistence and stability of seed-dispersed species in a patchy environment. Zbl 0434.92020
DeAngelis, D. L.; Travis, C. C.; Post, W. M.
1979
Sturmian theory for a class of nonselfadjoint differential systems. Zbl 0435.34021
Keener, M. S.; Travis, C. C.
1980
A note on second order nonlinear oscillation. Zbl 0297.34032
Travis, Curtis C.
1973
Differentiability of weak solutions to an abstract inhomogeneous differential equation. Zbl 0484.34044
Travis, C. C.
1981
Eradication of infectious diseases in heterogeneous populations. Zbl 0613.92022
Travis, Curtis C.; Lenhart, Suzanne M.
1987
Oscillation criteria for second-order differential systems. Zbl 0389.34026
1978
Perturbation of strongly continuous cosine family generators. Zbl 0496.47039
Travis, C. C.; Webb, G. F.
1981
Remarks on a comparison theorem for scalar Riccati equations. Zbl 0316.34006
Travis, C. C.
1975
Existence and comparison of eigenvalues of $$n$$-th order linear differential equations. Zbl 0342.34010
Gentry, R. D.; Travis, C. C.
1976
Parameter identification of distributed parameter systems. Zbl 0606.93023
Travis, C. C.; White, L. W.
1985
Uniqueness of solutions to singular boundary value problems. Zbl 0345.35025
Travis, C. C.; Young, E. C.
1977
On a comparison theorem for strongly elliptic systems. Zbl 0214.35904
Kreith, K.; Travis, C. C.
1971
Analysis of compensatory Leslie matrix models for competing species. Zbl 0449.92020
Travis, C. C.; Post, W. M.; DeAngelis, D. L.; Perkowski, J.
1980
Comparison and oscillation theorems for hyperbolic equations. Zbl 0296.35001
Travis, C. C.
1974
Comparison theorems for ultrahyperbolic equations. Zbl 0384.35005
Travis, C. C.; Young, E. C.
1978
Oscillation criteria for third order hyperbolic characteristic initial value problems. Zbl 0472.35011
Travis, C. C.; Yoshida, Norio
1981
Parameter identifiability for partial differential equations. Zbl 0514.93020
Travis, C. C.; White, L. W.
1982
A nonlinear semigroup whose generator is not dissipative. Zbl 0562.47051
Busenberg, Stavros N.; Travis, Curtis C.
1983
Infectious disease in a spatially heterogeneous environment. Zbl 0573.92018
Travis, C. C.; Post, W. M.; DeAngelis, D. L.
1980
Existence and stability for partial functional differential equations. Zbl 0345.35013
Travis, C. C.; Webb, G. F.
1976
On the uniqueness of solutions to hyperbolic boundary value problems. Zbl 0317.35057
Travis, C. C.
1976
A remark on integral oscillation criteria for selfadjoint elliptic equations. Zbl 0319.35028
Travis, Curtis C.
1974
Global stability in ecological models with continuous time delay. Zbl 0486.92025
Post, Wilfred M.; Travis, Curtis C.
1981
Oscillation criteria for nonlinear Bianchi equations. Zbl 0506.35005
Travis, C. C.; Yoshida, Norio
1982
Eradication of infectious diseases in heterogeneous populations. Zbl 0613.92022
Travis, Curtis C.; Lenhart, Suzanne M.
1987
Global stability of a biological model with time delay. Zbl 0602.34044
Lenhart, Suzanne M.; Travis, Curtis C.
1986
Positive feedback in natural systems. Zbl 0594.92001
DeAngelis, D. L.; Post, W. M.; Travis, C. C.
1986
Parameter identification of distributed parameter systems. Zbl 0606.93023
Travis, C. C.; White, L. W.
1985
Epidemic models with spatial spread due to population migration. Zbl 0522.92020
Busenberg, Stavros N.; Travis, Curtis C.
1983
Endemic disease in environments with spatially heterogeneous host populations. Zbl 0528.92018
Post, W. M.; DeAngelis, D. L.; Travis, C. C.
1983
A nonlinear semigroup whose generator is not dissipative. Zbl 0562.47051
Busenberg, Stavros N.; Travis, Curtis C.
1983
On the use of reducible-functional differential equations in biological models. Zbl 0513.34075
Busenberg, Stavros N.; Travis, Curtis C.
1982
Parameter identifiability for partial differential equations. Zbl 0514.93020
Travis, C. C.; White, L. W.
1982
Oscillation criteria for nonlinear Bianchi equations. Zbl 0506.35005
Travis, C. C.; Yoshida, Norio
1982
On structural identification. Zbl 0465.93027
1981
Differentiability of weak solutions to an abstract inhomogeneous differential equation. Zbl 0484.34044
Travis, C. C.
1981
Perturbation of strongly continuous cosine family generators. Zbl 0496.47039
Travis, C. C.; Webb, G. F.
1981
Oscillation criteria for third order hyperbolic characteristic initial value problems. Zbl 0472.35011
Travis, C. C.; Yoshida, Norio
1981
Global stability in ecological models with continuous time delay. Zbl 0486.92025
Post, Wilfred M.; Travis, Curtis C.
1981
Sturmian theory for a class of nonselfadjoint differential systems. Zbl 0435.34021
Keener, M. S.; Travis, C. C.
1980
Analysis of compensatory Leslie matrix models for competing species. Zbl 0449.92020
Travis, C. C.; Post, W. M.; DeAngelis, D. L.; Perkowski, J.
1980
Infectious disease in a spatially heterogeneous environment. Zbl 0573.92018
Travis, C. C.; Post, W. M.; DeAngelis, D. L.
1980
An abstract second order semilinear Volterra integrodifferential equation. Zbl 0406.45014
Travis, C. C.; Webb, G. F.
1979
Persistence and stability of seed-dispersed species in a patchy environment. Zbl 0434.92020
DeAngelis, D. L.; Travis, C. C.; Post, W. M.
1979
Cosine families and abstract nonlinear second order differential equations. Zbl 0388.34039
Travis, C. C.; Webb, G. F.
1978
Existence, stability, and compactness in the $$\alpha$$-norm for partial functional differential equations. Zbl 0414.34080
Travis, C. C.; Webb, G. F.
1978
Second order differential equations in Banach space. Zbl 0455.34044
Travis, C. C.; Webb, G. F.
1978
Positive cones and focal points for a class of $$n$$th order differential equations. Zbl 0404.35017
Keener, M. S.; Travis, C. C.
1978
Oscillation criteria for second-order differential systems. Zbl 0389.34026
1978
Comparison theorems for ultrahyperbolic equations. Zbl 0384.35005
Travis, C. C.; Young, E. C.
1978
Compactness, regularity, and uniform continuity properties of strongly continuous cosine families. Zbl 0386.47024
Travis, C. C.; Webb, G. F.
1977
Uniqueness of solutions to singular boundary value problems. Zbl 0345.35025
Travis, C. C.; Young, E. C.
1977
Partial differential equations with deviating arguments in the time variable. Zbl 0349.35071
Travis, C. C.; Webb, G. F.
1976
Comparison of eigenvalues associated with linear differential equations of arbitrary order. Zbl 0339.34012
Gentry, R. D.; Travis, C. C.
1976
Existence and comparison of eigenvalues of $$n$$-th order linear differential equations. Zbl 0342.34010
Gentry, R. D.; Travis, C. C.
1976
Existence and stability for partial functional differential equations. Zbl 0345.35013
Travis, C. C.; Webb, G. F.
1976
On the uniqueness of solutions to hyperbolic boundary value problems. Zbl 0317.35057
Travis, C. C.
1976
Remarks on a comparison theorem for scalar Riccati equations. Zbl 0316.34006
Travis, C. C.
1975
Existence and stability for partial functional differential equations. Zbl 0299.35085
Travis, C. C.; Webb, G. F.
1974
Approximation methods for boundary value problems of differential equations with functional arguments. Zbl 0321.65062
Reddien, G. W.; Travis, C. C.
1974
Comparison and oscillation theorems for hyperbolic equations. Zbl 0296.35001
Travis, C. C.
1974
A remark on integral oscillation criteria for selfadjoint elliptic equations. Zbl 0319.35028
Travis, Curtis C.
1974
Comparison of eigenvalues for linear differential equations of order 2$$n$$. Zbl 0272.34033
Travis, Curtis C.
1973
A note on second order nonlinear oscillation. Zbl 0297.34032
Travis, Curtis C.
1973
Oscillation theorems for second-order differential equations with functional arguments. Zbl 0235.34141
Travis, Curtis C.
1972
Oscillation criteria for selfadjoint elliptic equations. Zbl 0239.35003
Kreith, Kurt; Travis, Curtis C.
1972
On a comparison theorem for strongly elliptic systems. Zbl 0214.35904
Kreith, K.; Travis, C. C.
1971
all top 5

#### Cited by 827 Authors

 31 Ezzinbi, Khalil 23 Henríquez, Hernán R. 16 Fu, Xianlong 15 Ntouyas, Sotiris K. 15 Travis, Curtis C. 14 Rezunenko, Oleksandr V”yacheslavovych 13 Balachandran, Krishnan 11 Adimy, Mostafa 11 Benchohra, Mouffak 10 Fitzgibbon, William Edward 10 Lizama, Carlos 8 Pandey, Dwijendra Narain 7 Agarwal, Ravi P. 7 Chang, Jung-Chan 7 Henderson, Johnny Lee 7 Ji, Jun 7 McKibben, Mark Anthony 7 Naito, Toshiki 7 Sukavanam, Nagarajan 7 Vijayakumar, Velusamy 7 Webb, Glenn Francis 7 Wu, Jianhong 7 Yang, Bo 6 Arthi, Ganesan 6 Eloe, Paul W. 6 Guo, Shangjiang 6 Obaya, Rafael 6 O’Regan, Donal 6 Pao, Chia-Ven 6 Piskarëv, S. I. 6 Rankin, Samuel Murray III 6 Sanz, Ana M. 6 Shin, Jong Son 6 Yi, Taishan 5 Cioranescu, Ioana 5 Galiano Casas, Gonzalo 5 Hernández, Eduardo M. 5 Kunisch, Karl 5 Lenhart, Suzanne M. 5 Li, Wan-Tong 5 Mahmudov, Nazim Idrisoglu 5 Nguyen Van Minh 5 Tatar, Nasser-eddine 5 Yuan, Rong 5 Zhao, Xiao-Qiang 5 Zou, Xingfu 4 Bouzahir, Hassane 4 Chueshov, Igor’ Dmitrievich 4 Cuevas, Claudio 4 Diao, Boubacar 4 Elazzouzi, Abdelhai 4 Ghnimi, Saifeddine 4 Gopalsamy, Kondalsamy 4 Hankerson, Darrel R. 4 Kumar, Avadhesh 4 Li, Meili 4 Liang, Jin 4 Liu, Kai 4 Neugebauer, Jeffrey T. 4 Ouhinou, Aziz 4 Ren, Yong 4 Ruan, Shigui 4 Sakthivel, Rathinasamy 4 Sinestrari, Eugenio 4 Su, Xiaofeng 4 Sy, Mamadou 4 Umarov, Khasan Galsanovich 4 Yan, Shuling 4 Yoshida, Norio 4 Zabsonre, Issa 3 Balasubramaniam, Pagavathigounder 3 Berezansky, Leonid M. 3 Braverman, Elena 3 Busenberg, Stavros N. 3 Caraballo Garrido, Tomás 3 Chang, Yong-Kui 3 Datko, Richard F. 3 Debnath, Lokenath 3 Di Blasio, Gabriella 3 Esterle, Jean 3 Faria, Teresa 3 Gentry, Rodney D. 3 Grace, Said Rezk 3 Grigoryan, Gevorg Avagovich 3 Gyori, Istvan 3 Hattaf, Khalid 3 Heard, Melvin L. 3 Hernández Morales, Eduardo 3 Hilal, Khalid 3 Jacquez, John A. 3 Kwun, Young Chel 3 Kyelem, Bila Adolphe 3 Li, Yongxiang 3 Lin, Chinyuan 3 Liu, James Hetao 3 Melnikova, Irina V. 3 Müller-Pfeiffer, Erich 3 Murugesu, R. 3 Muslim, Malik 3 Neubrander, Frank ...and 727 more Authors
all top 5

#### Cited in 171 Serials

 92 Journal of Mathematical Analysis and Applications 47 Journal of Differential Equations 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Computers & Mathematics with Applications 28 Mathematical Biosciences 27 Nonlinear Analysis. Theory, Methods & Applications 25 Applied Mathematics and Computation 16 Proceedings of the American Mathematical Society 12 Mathematical and Computer Modelling 12 Advances in Difference Equations 11 Journal of Optimization Theory and Applications 11 Theoretical Population Biology 9 Applicable Analysis 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Semigroup Forum 9 Transactions of the American Mathematical Society 9 Journal of Dynamics and Differential Equations 9 Nonlinear Analysis. Real World Applications 8 Journal of Mathematical Biology 7 Applied Mathematics Letters 7 Abstract and Applied Analysis 7 Journal of Dynamical and Control Systems 6 Numerical Functional Analysis and Optimization 6 Discrete and Continuous Dynamical Systems. Series B 6 Afrika Matematika 5 Rocky Mountain Journal of Mathematics 5 Integral Equations and Operator Theory 5 Journal of Computational and Applied Mathematics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Differential Equations and Dynamical Systems 5 Mediterranean Journal of Mathematics 4 International Journal of Control 4 Journal of Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Bulletin of Mathematical Biology 4 Mathematische Nachrichten 4 Results in Mathematics 4 Tohoku Mathematical Journal. Second Series 4 Stochastic Analysis and Applications 4 Journal of Inequalities and Applications 4 Discrete Dynamics in Nature and Society 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Differential Equations 4 Evolution Equations and Control Theory 3 Mathematical Notes 3 Periodica Mathematica Hungarica 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Optimization 3 Czechoslovak Mathematical Journal 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 Proceedings of the Japan Academy. Series A 3 Systems & Control Letters 3 Acta Applicandae Mathematicae 3 Journal of Integral Equations and Applications 3 Linear Algebra and its Applications 3 Fractional Calculus & Applied Analysis 3 Differential Equations 3 Journal of Applied Mathematics and Computing 3 Mathematical Biosciences and Engineering 3 Journal of Fixed Point Theory and Applications 3 S$$\vec{\text{e}}$$MA Journal 3 Journal of Theoretical Biology 3 Journal of Applied Analysis and Computation 3 Nonautonomous Dynamical Systems 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Israel Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematica Slovaca 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Aequationes Mathematicae 2 Applied Mathematical Modelling 2 Russian Mathematics 2 Topological Methods in Nonlinear Analysis 2 Journal of Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Biological Systems 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Central European Journal of Mathematics 2 Networks and Heterogeneous Media 2 Open Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Archive for Rational Mechanics and Analysis 1 Linear and Multilinear Algebra 1 Nonlinearity ...and 71 more Serials
all top 5

#### Cited in 29 Fields

 405 Ordinary differential equations (34-XX) 275 Partial differential equations (35-XX) 179 Operator theory (47-XX) 138 Biology and other natural sciences (92-XX) 109 Systems theory; control (93-XX) 64 Integral equations (45-XX) 38 Numerical analysis (65-XX) 31 Probability theory and stochastic processes (60-XX) 30 Dynamical systems and ergodic theory (37-XX) 23 Difference and functional equations (39-XX) 18 Real functions (26-XX) 17 Mechanics of deformable solids (74-XX) 13 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)