## Dynamics of Continuous, Discrete and Impulsive Systems

### An International Journal for Theory and Applications

 Short Title: Dyn. Contin. Discrete Impulsive Syst. Publisher: Watam Press, Waterloo, Ontario ISSN: 1201-3390 Online: http://monotone.uwaterloo.ca/~journal/DCDIS_A/index.html Successor: Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical AnalysisDynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms Comments: No longer indexed
 Documents Indexed: 241 Publications (1995–2000)
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### Latest Issues

 7, No. 4 (2000) 7, No. 3 (2000) 7, No. 2 (2000) 7, No. 1 (2000) 6, No. 4 (1999) 6, No. 3 (1999) 6, No. 2 (1999) 6, No. 1 (1999) 5, No. 1-4 (1999) 4, No. 4 (1998) 4, No. 3 (1998) 4, No. 2 (1998) 4, No. 1 (1998) 3, No. 4 (1997) 3, No. 3 (1997) 3, No. 2 (1997) 3, No. 1 (1997) 2, No. 4 (1996) 2, No. 3 (1996) 2, No. 2 (1996) 2, No. 1 (1996) 1, No. 2 (1995) 1, No. 1 (1995)
all top 5

### Authors

 6 Liu, Xinzhi 4 Henderson, Johnny Lee 4 Teo, Kok Lay 3 Agarwal, Ravi P. 3 Basin, Michael V. 3 Brauer, Fred 3 Graef, John R. 3 Han, Maoan 3 Hsieh, Po-Fang 3 Liao, Xiao Xin 3 Lin, Yanping 3 Liu, Yongqing 3 Llibre, Jaume 3 O’Regan, Donal 3 Siegel, David 3 Xie, Feipeng 3 Yavin, Yaakov 2 Ahmed, Nasir Uddin 2 Arino, Ovide 2 Brennan, Michael J. 2 Cabada, Alberto 2 Caccetta, Louis 2 Carl, Siegfried 2 Drăgan, Vasile 2 Eloe, Paul W. 2 Fu, Xilin 2 Hara, Tadayuki 2 Heikkilä, Seppo V. 2 Jiang, Katie 2 Karsai, János 2 Lee, H. W. Joseph 2 Li, Yuanqing 2 Liu, James Hetao 2 Ma, Wanbiao 2 Mao, Xuerong 2 Marconato, Suzinei A. S. 2 Nieto Roig, Juan Jose 2 Rehbock, Volker 2 Shahzad, Naseer 2 Takeuchi, Yasuhiro 2 Vatsala, Aghalaya S. 2 Villanueva Llanes, Mario A. 2 Wen, Lizhi 2 Weng, Peixuan 2 Wong, Patricia J. Y. 2 Xu, Hua 2 Yan, Baoqiang 2 Yan, Joseph G.-G. 2 Zhang, Binggen 2 Zhang, Qing 1 Acker, Andrew F. 1 Ackleh, Azmy S. 1 Adeyeye, John Ola-Oluwa 1 Ahlbrandt, Calvin D. 1 Ahmad, Khader H. 1 Ailon, Amit 1 Albanese, Richard A. 1 Allegretto, Walter 1 Ammar-Khodja, Farid 1 Antonelli, Peter Louis 1 Arimoto, Suguru 1 Artstein, Zvi 1 Ballinger, George 1 Battelli, Flaviano 1 Béda, Gyula 1 Béda, Péter B. 1 Bená, Maria Aparecida 1 Benabdallah, Assia 1 Bensoussan, Alain 1 Beretta, Edoardo 1 Bernat, Josep 1 Bisognin, Eleni 1 Bisognin, Vanilde 1 Bohner, Martin J. 1 Bortone, Carlo 1 Boumenir, Amin A. 1 Bressan, Alberto 1 Brugnano, Luigi 1 Bucci, Francesca 1 Burton, Theodore Allen 1 Callier, Frank M. 1 Campbell, Sue Ann 1 Camyshev, Andrei 1 Cardin, Franco 1 Carter, Thomas E. 1 Carvalho, Luiz A. V. 1 Castro, Alfonso 1 Chadam, John M. 1 Chamberland, Marc 1 Chan, Tsz-Fung 1 Chanane, Bilal 1 Chandrakala, G. 1 Chen, Xi 1 Chen, Yongshao 1 Cherid, Ali 1 Chicone, Carmen C. 1 Choi, Q-Heung 1 Cholewa, Jan W. 1 Chossat, Pascal 1 Chukova, Stefanka St. ...and 234 more Authors
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### Fields

 120 Ordinary differential equations (34-XX) 43 Systems theory; control (93-XX) 42 Partial differential equations (35-XX) 29 Dynamical systems and ergodic theory (37-XX) 24 Difference and functional equations (39-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 21 Biology and other natural sciences (92-XX) 12 Integral equations (45-XX) 12 Operator theory (47-XX) 12 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of particles and systems (70-XX) 8 Mechanics of deformable solids (74-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

142 Publications have been cited 1,428 times in 1,363 Documents Cited by Year
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
1997
Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031
2000
Impulsive evolution systems: Main results and new trends. Zbl 0879.34014
Rogovchenko, Yuri V.
1997
Existence and uniqueness results for impulsive delay differential equations. Zbl 0955.34068
Ballinger, George; Liu, Xinzhi
1999
Nonlinear impulsive evolution equations. Zbl 0932.34067
Liu, James H.
1999
Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027
Erbe, Lynn; Peterson, Allan
1999
Cocycle attractors in nonautonomously perturbed differential equations. Zbl 0905.34047
Kloeden, P. E.; Stonier, D. J.
1998
Hybrid control and dynamic programming. Zbl 0897.49022
Bensoussan, A.; Menaldi, J. L.
1997
Counterexample to Kalman and Markus-Yamabe conjectures in larger than 3. Zbl 0889.34047
Bernat, Josep; Llibre, Jaume
1996
Safety-first dynamic portfolio selection. Zbl 0916.90023
Li, Duan; Chan, Tsz-Fung; Ng, Wan-Lung
1998
A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points. Zbl 0953.34020
Cabada, Alberto; Nieto, Juan J.; Franco, Daniel; Trofimchuk, Sergei I.
2000
A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
1999
Multiple solutions for a coupled system of boundary value problems. Zbl 0958.34022
Agarwal, Ravi P.; O’Regan, Donal
2000
Riccati matrix difference equations and linear Hamiltonian difference systems. Zbl 0873.39003
Bohner, Martin
1996
Global attractivity of difference equations with variable delay. Zbl 0938.39016
Zhang, B. G.; Tian, Chuan Jun; Wong, P. J. Y.
1999
Pointwise growth estimates of the Riesz potential. Zbl 0952.35017
Siegel, David; Talvila, Erik
1999
Stochastic differential equations and persistence time for two interacting populations. Zbl 0946.60058
Allen, E. J.
1999
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
2000
On the stability of Lyness’ equation. Zbl 0869.39004
Kocic, V. L.; Ladas, G.; Tzanetopoulos, G.; Thomas, E.
1995
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
1997
A note on rapid convergence of approximate solutions to an ordinary Dirichlet problem. Zbl 0955.34011
Cabada, Alberto; Nieto, Juan J.; Pita-da-Veiga, Rafael
1998
Razumikhin type theorems for functional differential equations with impulses. Zbl 0936.34070
Wen, Lizhi; Chen, Yongshao
1999
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
1998
Stability and bifurcation in the harmonic oscillator with multiple, delayed feedback loops. Zbl 0943.34059
Campbell, Sue Ann
1999
The asymptotic stability of a two-dimensional linear delay difference equation. Zbl 0952.39004
1999
Sufficient conditions for uniform stabilization of second order equations by dynamical controllers. Zbl 0946.35013
Ammar Khodja, Farid; Benabdallah, Assia
2000
On the characterization for stiffness of ODEs. Zbl 0873.65071
Brugnano, Luigi; Trigiante, Donato
1996
Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036
Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald
1996
Long-term survival in a 3-species ecological system. Zbl 0883.35064
Lu, Chenhong; Feng, Wei; Lu, Xin
1997
Mixed input-output optimization for time varying Itô systems with state-dependent noise. Zbl 0879.93058
Dragan, V.; Morozan, T.
1997
Abstract monotone iterative techniques and applications to impulsive differential equations. Zbl 0897.34015
Liz, Eduardo
1997
Inclination control of the motion of a rolling disk by using a rotor fixed along its axis. Zbl 0900.93039
Yavin, Y.
1998
On asymptotic diagonalization of linear ordinary differential equations. Zbl 0919.34033
Hsieh, Po-Fang; Xie, Feipeng
1998
Shape optimization for mixed boundary value problems based on an embedding domain method. Zbl 0914.49027
Kunisch, K.; Peichl, G.
1998
Chain transitive sets for smooth strongly monotone dynamical systems. Zbl 0943.54026
Hirsch, Morris W.
1999
Smoothness of carrying simplices for three-dimensional competitive systems: A counterexample. Zbl 0941.34034
Mierzyński, Janusz
1999
Global existence of periodic solutions to Liénard equations with finite delay. Zbl 0953.34059
Wei, Junjie; Huang, Qichang
1999
Oscillation criteria for a class of forced neutral equations. Zbl 0978.34054
Luo, Zhiguo; Shen, Jianhua; Liu, Xinzhi
2000
Phragmén-Lindelöf alternative for linear equations of the anti-plane shear dynamic problem in viscoelasticity. Zbl 0869.73026
Quintanilla, Ramón
1996
Comparison principles for systems that embed in cooperative systems, with applications to diffusive Lotka-Volterra models. Zbl 0885.35015
Cosner, Chris
1997
Control parametrization enhancing technique for time optimal control and optimal three-valued control problems. Zbl 0920.49018
Teo, K. L.; Lee, H. W. J.; Rehbock, V.
1998
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
1999
Vector Lyapunov functions for impulsive differential systems with variable times. Zbl 0942.34009
Kaul, Saroop K.; Liu, Xinzhi
1999
Admissible observation operators. Duality of observation and control using factorizations. Zbl 0932.93009
Grabowski, Piotr; Callier, Frank M.
1999
Measure solutions for impulsive systems in Banach spaces and their control. Zbl 0951.34040
Ahmed, N. U.
1999
On some secondary bifurcations near resonant Hopf-Hopf interactions. Zbl 0961.37012
LeBlanc, Victor G.
2000
Uniform stabilization and space-periodic solutions of a nonlinear dispersive system. Zbl 0978.35044
Bisognin, E.; Bisognin, V.; Perla Menzala, G.
2000
Nonlinear variation of parameters formula for dynamical systems on measure chains. Zbl 0887.58047
Lakshmikantham, V.; Shahzad, N.; Sivasundaram, S.
1995
Finite dimensional approximations of boundary control problems arising in partially observed hyperbolic systems. Zbl 0876.93046
Hendrickson, Erik; Lasiecka, Irena
1995
Oscillation criteria for impulsive hyperbolic systems. Zbl 0927.34008
Fu, Xilin; Liu, Xinzhi
1997
Existence of nonnegative solutions to superlinear non-positone problems via a fixed point theorem in cones of Banach spaces. Zbl 0909.34017
O’Regan, Donal
1997
Reachable discrete-time positive systems with minimal dimension control sets. Zbl 0927.93010
Caccetta, L.; Rumchev, V. G.
1998
The existence of positive solutions of nonlinear impulsive Fredholm integral equations in Banach spaces. Zbl 0931.45010
Yan, Baoqiang
1999
Stability analysis on a delayed $$SIR$$ epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
1999
Stabilization and path controllability of the motion of an autonomous bicycle. Zbl 0982.93054
Yavin, Y.
2000
Phase portraits of a new class of integrable quadratic vector fields. Zbl 0980.34022
Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, J. Angel
2000
First order impulsive integro-differential equations on unbounded domain in a Banach space. Zbl 0873.45008
Guo, Dajun; Liu, Xinzhi
1996
Dynamics of a hyperbolic logistic map with fading memory. Zbl 0869.39003
Liu, Pingzhou; Gopalsamy, K.
1995
A general method for obtaining unconventional and nonstandard difference schemes. Zbl 0899.65049
Meyer-Spasche, R.; Düchs, D.
1997
Decentralized stabilization for impulsive large scale systems with delays. Zbl 0934.93009
Guan, Zhihong
1999
Eigenvalues of an $$n$$th order difference equation with $$(n,p)$$ type conditions. Zbl 0902.39005
Wong, Patricia J. Y.; Agarwal, Ravi P.
1998
Asymptotic behavior of Stokes multipliers for $$y''- (x^\sigma+\lambda)y=0$$ $$(\sigma\geq 2)$$ as $$\lambda\to\infty$$. Zbl 0943.34077
Tabara, T. J.
1999
Preservation of stability under approximation for a neutral FDE. Zbl 0946.34068
Fabiano, R. H.; Turi, J.
1999
Monotonicity with respect to closed convex cones. I. Zbl 0965.34022
Kunze, H.; Siegel, D.
1999
Computation of a multiple bifurcation point using one singular value decomposition nearby. Zbl 0946.65035
Shen, Yun-Qiu
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
1999
Some counterexamples in dissipative systems. Zbl 0983.37094
Cholewa, J. W.; Hale, J. K.
2000
Frequency domain stability of nonlinear feedback systems with unbounded input operator. Zbl 0966.93089
Bucci, Francesca
2000
Uniform stability of a coupled structural acoustic system with thermoelastic effects. Zbl 0963.35029
Lebiedzik, Catherine
2000
Multiple symmetric positive solutions for discrete Lidstone boundary value problems. Zbl 0969.39003
Henderson, Johnny
2000
Dynamics of a linear differential system with piecewise constant argument. Zbl 0976.34062
2000
Solving the inverse problem for function and image approximation using iterated function systems. Zbl 0869.65009
Forte, Bruno; Vrscay, Edward R.
1995
Anti-periodic solutions of some semilinear parabolic boundary value problems. Zbl 0873.35038
Yin, Yunfeng
1995
Global and almost global solutions to quadratic nonlinear Schrödinger equations with small initial data. Zbl 0885.35128
Hayashi, Nakao
1996
Smoothness of solutions for boundary value problems with impulse effects. Zbl 0870.34024
Henderson, Johnny; Thompson, H. B.
1995
Structural stability for time-optimal planar syntheses. Zbl 0885.93032
Bressan, Alberto; Piccoli, Benedetto
1997
Hyper-impulsive motion on manifolds. Zbl 1084.37522
Cardin, Franco; Favretti, Marco
1998
Oscillation of first-order difference equations with a nonlinear neutral term. Zbl 0938.39015
Li, Wan-Tong; Yan, Ju-Rang
1999
On the existence of a small solution to linear second-order differential equations with step function coefficients. Zbl 0916.34013
Hatvani, László
1998
On Sturmian theory. Zbl 0914.34030
Travis, Betty; Navarro, Ramón
1998
Computing optimal control. Zbl 0917.49029
Craven, B. D.; de Haas, K.; Wettenhall, J. M.
1998
Steady-state mode interactions for $$D_3$$ and $$D_4$$-symmetric systems. Zbl 0928.37009
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin
1999
Nonlinear stability of a certain capillary surface. Zbl 0959.53008
Vogel, Thomas I.
1999
Stability analysis for exotic containers. Zbl 0937.35044
Wente, Henry C.
1999
A numerical study of singularly perturbed Markov chains: Quasi-equilibrium distributions and scaled occupation measures. Zbl 0946.60074
Li, X.; Yin, G.; Yin, K.; Zhang, Q.
1999
Global and uniform approximations for solutions to the Bessel equation. Zbl 0942.34025
Gingold, H.
1999
Reverse Hölder inequality for functions with discrete-time variable. Zbl 0949.26010
Hoshino, Keisuke; Kikuchi, Norio
1999
Exponential stability in mean square of neutral stochastic differential difference equations. Zbl 0956.60069
Liao, Xiao Xin; Mao, Xuerong
1999
Periodic solutions of 4th order O. D. E. Zbl 0956.34033
Garcia, Felix L.
2000
An existence result for a class of sublinear semipositone systems. Zbl 0967.35041
Castro, Alfonso; Maya, C.; Shivaji, R.
2000
Boundary synchronization in parabolic problems with nonlinear boundary conditions. Zbl 1075.35529
Carvalho, Alexandre N.; Primo, Marcos R. T.
2000
A continuous extension of the $$3X+1$$ problem to the real line. Zbl 0874.11017
Chamberland, Marc
1996
Quenching in infinite time on the N-dimensional ball. Zbl 0871.35049
Chan, C. Y.; Liu, H. T.
1996
Necessary and sufficient conditions for oscillations of partial difference equations. Zbl 0874.39010
Zhang, B. G.; Liu, S. T.
1997
General nonuniqueness theorem for ordinary differential equations. Zbl 0870.34006
Kalas, Josef
1997
Singular two-dimensional continuous-discrete linear systems. Zbl 0878.93037
1996
Global attractivity of Lotka-Volterra systems with infinite delay. Zbl 0868.45003
Zhang, Yi
1995
Navigation and control of a trolley. Zbl 0874.93073
Yavin, Y.
1997
Bifurcations and algebraic curves for quadratic rational functions $$\{ mf(x)\}_m$$. Zbl 0957.37035
Fujimura, Masayo; Nishizawa, Kiyoko
1998
Existence of positive travelling waves for generic Lotka-Volterra competition model with diffusion. Zbl 0932.34043
Kan-on, Yukio
1999
Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Zbl 1011.34031
2000
A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points. Zbl 0953.34020
Cabada, Alberto; Nieto, Juan J.; Franco, Daniel; Trofimchuk, Sergei I.
2000
Multiple solutions for a coupled system of boundary value problems. Zbl 0958.34022
Agarwal, Ravi P.; O&rsquo;Regan, Donal
2000
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
2000
Sufficient conditions for uniform stabilization of second order equations by dynamical controllers. Zbl 0946.35013
Ammar Khodja, Farid; Benabdallah, Assia
2000
Oscillation criteria for a class of forced neutral equations. Zbl 0978.34054
Luo, Zhiguo; Shen, Jianhua; Liu, Xinzhi
2000
On some secondary bifurcations near resonant Hopf-Hopf interactions. Zbl 0961.37012
LeBlanc, Victor G.
2000
Uniform stabilization and space-periodic solutions of a nonlinear dispersive system. Zbl 0978.35044
Bisognin, E.; Bisognin, V.; Perla Menzala, G.
2000
Stabilization and path controllability of the motion of an autonomous bicycle. Zbl 0982.93054
Yavin, Y.
2000
Phase portraits of a new class of integrable quadratic vector fields. Zbl 0980.34022
Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, J. Angel
2000
Some counterexamples in dissipative systems. Zbl 0983.37094
Cholewa, J. W.; Hale, J. K.
2000
Frequency domain stability of nonlinear feedback systems with unbounded input operator. Zbl 0966.93089
Bucci, Francesca
2000
Uniform stability of a coupled structural acoustic system with thermoelastic effects. Zbl 0963.35029
Lebiedzik, Catherine
2000
Multiple symmetric positive solutions for discrete Lidstone boundary value problems. Zbl 0969.39003
Henderson, Johnny
2000
Dynamics of a linear differential system with piecewise constant argument. Zbl 0976.34062
2000
Periodic solutions of 4th order O. D. E. Zbl 0956.34033
Garcia, Felix L.
2000
An existence result for a class of sublinear semipositone systems. Zbl 0967.35041
Castro, Alfonso; Maya, C.; Shivaji, R.
2000
Boundary synchronization in parabolic problems with nonlinear boundary conditions. Zbl 1075.35529
Carvalho, Alexandre N.; Primo, Marcos R. T.
2000
Toward quantifying the spectrum of recovery functions. Zbl 0954.34069
Kribs-Zaleta, Christopher
2000
An extension of quasilinearization to reaction diffusion equations with fixed moments of impulses. Zbl 0952.35063
Drici, Zahia; Kouhestani, Nader; Vatsala, A. S.
2000
On singularities of reversible mappings of $$\mathbb R^3$$. Zbl 0959.58049
Jacquemard, A.; Teixeira, M. A.
2000
Stability and delays in a predator-prey system. II. Zbl 0952.34061
He, Xue-Zhong
2000
Positive solutions for a class of Sturm-Liouville boundary value problems. Zbl 0963.34018
Huang, Chunchao
2000
Novel stability and instability condition for interconnected systems with structural perturbations. Zbl 0985.34042
Matynyuk, A. A.; Stavroulakis, I. P.
2000
Optimal hedging strategy for a portfolio investment problem with additional constraints. Zbl 1017.91029
Dokuchaev, N. G.; Teo, K. L.
2000
New oscillation criterion for delay difference equations. Zbl 0971.39008
Tang, X. H.; Yu, J. S.
2000
Multiple positive solutions for boundary value problem of second order singular FDE of mixed type. Zbl 0977.34064
Jiang, Da-Qing; Weng, Pei-Xuan
2000
Existence and uniqueness results for impulsive delay differential equations. Zbl 0955.34068
Ballinger, George; Liu, Xinzhi
1999
Nonlinear impulsive evolution equations. Zbl 0932.34067
Liu, James H.
1999
Green’s functions and comparison theorems for differential equations on measure chains. Zbl 0938.34027
Erbe, Lynn; Peterson, Allan
1999
A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
1999
Global attractivity of difference equations with variable delay. Zbl 0938.39016
Zhang, B. G.; Tian, Chuan Jun; Wong, P. J. Y.
1999
Pointwise growth estimates of the Riesz potential. Zbl 0952.35017
Siegel, David; Talvila, Erik
1999
Stochastic differential equations and persistence time for two interacting populations. Zbl 0946.60058
Allen, E. J.
1999
Razumikhin type theorems for functional differential equations with impulses. Zbl 0936.34070
Wen, Lizhi; Chen, Yongshao
1999
Stability and bifurcation in the harmonic oscillator with multiple, delayed feedback loops. Zbl 0943.34059
Campbell, Sue Ann
1999
The asymptotic stability of a two-dimensional linear delay difference equation. Zbl 0952.39004
1999
Chain transitive sets for smooth strongly monotone dynamical systems. Zbl 0943.54026
Hirsch, Morris W.
1999
Smoothness of carrying simplices for three-dimensional competitive systems: A counterexample. Zbl 0941.34034
Mierzyński, Janusz
1999
Global existence of periodic solutions to Liénard equations with finite delay. Zbl 0953.34059
Wei, Junjie; Huang, Qichang
1999
Twin solutions for nonlinear multipoint conjugate boundary value problems. Zbl 0942.34016
Eloe, Paul W.; Henderson, Johnny
1999
Vector Lyapunov functions for impulsive differential systems with variable times. Zbl 0942.34009
Kaul, Saroop K.; Liu, Xinzhi
1999
Admissible observation operators. Duality of observation and control using factorizations. Zbl 0932.93009
Grabowski, Piotr; Callier, Frank M.
1999
Measure solutions for impulsive systems in Banach spaces and their control. Zbl 0951.34040
Ahmed, N. U.
1999
The existence of positive solutions of nonlinear impulsive Fredholm integral equations in Banach spaces. Zbl 0931.45010
Yan, Baoqiang
1999
Stability analysis on a delayed $$SIR$$ epidemic model with density dependent birth process. Zbl 0937.92026
Takeuchi, Y.; Ma, W.
1999
Decentralized stabilization for impulsive large scale systems with delays. Zbl 0934.93009
Guan, Zhihong
1999
Asymptotic behavior of Stokes multipliers for $$y''- (x^\sigma+\lambda)y=0$$ $$(\sigma\geq 2)$$ as $$\lambda\to\infty$$. Zbl 0943.34077
Tabara, T. J.
1999
Preservation of stability under approximation for a neutral FDE. Zbl 0946.34068
Fabiano, R. H.; Turi, J.
1999
Monotonicity with respect to closed convex cones. I. Zbl 0965.34022
Kunze, H.; Siegel, D.
1999
Computation of a multiple bifurcation point using one singular value decomposition nearby. Zbl 0946.65035
Shen, Yun-Qiu
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
1999
Oscillation of first-order difference equations with a nonlinear neutral term. Zbl 0938.39015
Li, Wan-Tong; Yan, Ju-Rang
1999
Steady-state mode interactions for $$D_3$$ and $$D_4$$-symmetric systems. Zbl 0928.37009
Lari-Lavassani, Ali; Langford, William F.; Huseyin, Koncay; Gatermann, Karin
1999
Nonlinear stability of a certain capillary surface. Zbl 0959.53008
Vogel, Thomas I.
1999
Stability analysis for exotic containers. Zbl 0937.35044
Wente, Henry C.
1999
A numerical study of singularly perturbed Markov chains: Quasi-equilibrium distributions and scaled occupation measures. Zbl 0946.60074
Li, X.; Yin, G.; Yin, K.; Zhang, Q.
1999
Global and uniform approximations for solutions to the Bessel equation. Zbl 0942.34025
Gingold, H.
1999
Reverse Hölder inequality for functions with discrete-time variable. Zbl 0949.26010
Hoshino, Keisuke; Kikuchi, Norio
1999
Exponential stability in mean square of neutral stochastic differential difference equations. Zbl 0956.60069
Liao, Xiao Xin; Mao, Xuerong
1999
Existence of positive travelling waves for generic Lotka-Volterra competition model with diffusion. Zbl 0932.34043
Kan-on, Yukio
1999
On the reduction principle of difference equations. Zbl 0934.39006
Janglajew, K.
1999
Uniqueness of positive radial solutions of $$-\Delta u=f(u)$$ on balls in $$\mathbb{R}^n$$. Zbl 0937.35057
Karls, Michael A.
1999
The bivariate probability distributions with periodic failure rate via a hyperbolic differential equation. Zbl 0947.60015
Dimitrov, Boyan; Chukova, Stefanka; Green, David jun.
1999
Behavior of point vortices in a plane and existence of heteroclinic orbits. Zbl 0972.76016
Nakaki, Tatsuyuki
1999
On semilinear elliptic problems in exterior domains. Zbl 0937.35069
Tzeng, Shyuh-yaur; Wang, Hwai-chiuan
1999
On an unbounded linear operator arising in the demographic theory for an open population with space limited recruitment. Zbl 0940.47035
Zhang, Shenghai; Freedman, H. I.
1999
Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1999
Study of the orbital stability of nonlinear controlled systems. Zbl 1126.93406
Popescu, Mihai
1999
Integral equation methods for electromagnetic scattering from cavities. Zbl 0977.78014
Wood, Aihua W.; Wood, William D. jun.
1999
Cocycle attractors in nonautonomously perturbed differential equations. Zbl 0905.34047
Kloeden, P. E.; Stonier, D. J.
1998
Safety-first dynamic portfolio selection. Zbl 0916.90023
Li, Duan; Chan, Tsz-Fung; Ng, Wan-Lung
1998
A note on rapid convergence of approximate solutions to an ordinary Dirichlet problem. Zbl 0955.34011
Cabada, Alberto; Nieto, Juan J.; Pita-da-Veiga, Rafael
1998
Positive solutions of boundary value problems for ordinary differential equations with impulse. Zbl 0903.34013
Eloe, Paul W.; Henderson, Johnny
1998
Inclination control of the motion of a rolling disk by using a rotor fixed along its axis. Zbl 0900.93039
Yavin, Y.
1998
On asymptotic diagonalization of linear ordinary differential equations. Zbl 0919.34033
Hsieh, Po-Fang; Xie, Feipeng
1998
Shape optimization for mixed boundary value problems based on an embedding domain method. Zbl 0914.49027
Kunisch, K.; Peichl, G.
1998
Control parametrization enhancing technique for time optimal control and optimal three-valued control problems. Zbl 0920.49018
Teo, K. L.; Lee, H. W. J.; Rehbock, V.
1998
Reachable discrete-time positive systems with minimal dimension control sets. Zbl 0927.93010
Caccetta, L.; Rumchev, V. G.
1998
Eigenvalues of an $$n$$th order difference equation with $$(n,p)$$ type conditions. Zbl 0902.39005
Wong, Patricia J. Y.; Agarwal, Ravi P.
1998
Hyper-impulsive motion on manifolds. Zbl 1084.37522
Cardin, Franco; Favretti, Marco
1998
On the existence of a small solution to linear second-order differential equations with step function coefficients. Zbl 0916.34013
Hatvani, László
1998
On Sturmian theory. Zbl 0914.34030
Travis, Betty; Navarro, Ramón
1998
Computing optimal control. Zbl 0917.49029
Craven, B. D.; de Haas, K.; Wettenhall, J. M.
1998
Bifurcations and algebraic curves for quadratic rational functions $$\{ mf(x)\}_m$$. Zbl 0957.37035
Fujimura, Masayo; Nishizawa, Kiyoko
1998
Optimal active pointwise control of distributed parameter systems with time delays. Zbl 0901.49021
1998
Variation of parameter formulas and maximum principles for linear hyperbolic problems in two independent variables. Zbl 0906.35055
Pandit, Sudhakar G.
1998
Adaptive Lotka-Volterra systems as neural networks. Zbl 0918.34014
Bortone, Carlo; Tebaldi, Claudio
1998
Solutions of impulsive integrodifferential boundary value problems with countable impulses. Zbl 0920.34014
Liu, Xiyu
1998
Optimality of zero-inventory policies for an unreliable manufacturing system producing two part types. Zbl 0915.90137
Presman, Ernst L.; Sethi, Suresh P.; Zhang, Hanqin; Zhang, Qing
1998
Linear quadratic regulator for systems governed by $$B$$-evolutions. Zbl 0917.93035
Ahmed, N. U.; Kerbal, S.
1998
An optimal driving strategy for a solar powered car on an undulating road. Zbl 0914.49024
Howlett, P. G.; Pudney, P. J.
1998
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
1997
Impulsive evolution systems: Main results and new trends. Zbl 0879.34014
Rogovchenko, Yuri V.
1997
Hybrid control and dynamic programming. Zbl 0897.49022
Bensoussan, A.; Menaldi, J. L.
1997
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. Zbl 0908.92025
Arino, O.; Sánchez, E.; Webb, G. F.
1997
Long-term survival in a 3-species ecological system. Zbl 0883.35064
Lu, Chenhong; Feng, Wei; Lu, Xin
1997
Mixed input-output optimization for time varying Itô systems with state-dependent noise. Zbl 0879.93058
Dragan, V.; Morozan, T.
1997
Abstract monotone iterative techniques and applications to impulsive differential equations. Zbl 0897.34015
Liz, Eduardo
1997
Comparison principles for systems that embed in cooperative systems, with applications to diffusive Lotka-Volterra models. Zbl 0885.35015
Cosner, Chris
1997
...and 42 more Documents
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### Cited by 1,710 Authors

 55 Chen, Lansun 53 Jiang, Daqing 36 Liu, Xinzhi 30 Mao, Xuerong 29 Liu, Qun 23 Al-saedi, Ahmed Eid Salem 23 Hayat, Tasawar 19 Agarwal, Ravi P. 15 Benchohra, Mouffak 15 Nieto Roig, Juan Jose 15 O’Regan, Donal 15 Wang, Jinrong 14 Ouahab, Abdelghani 13 Ahmad, Bashir 13 Henderson, Johnny Lee 13 Yavin, Yaakov 12 Cao, Jinde 12 Shen, Jianhua 12 Wu, Fuke 11 Zhang, Shuwen 10 Li, Wan-Tong 10 Shi, Ningzhong 10 Tang, Sanyi 9 Liu, Bing 9 Liu, Zhijun 9 Sun, Ji Tao 9 Teng, Zhi-dong 9 Wei, Wei 9 Yuan, Chenggui 8 Kuznetsov, Nikolay Vladimirovich 8 Leonov, Gennadiĭ Alekseevich 8 Peterson, Allan C. 8 Tachim Medjo, Theodore 8 Teo, Kok Lay 8 Wang, Qing 7 Cheke, Robert A. 7 Fu, Xilin 7 Hernández, Eduardo M. 7 Li, Jianli 7 Li, Xiaoyue 7 Liang, Jin 7 Liu, Meng 7 Menaldi, Jose-Luis 7 Šimon Hilscher, Roman 7 Wan, Li 7 Wang, Ke 7 Xu, Daoyi 7 Yang, Qigui 7 You, Bo 7 Zhu, Quanxin 6 Ahmed, Nasir Uddin 6 Balachandran, Krishnan 6 Bohner, Martin J. 6 Caraballo Garrido, Tomás 6 Chen, Qingmei 6 Erbe, Lynn Harry 6 Ge, Weigao 6 Heikkilä, Seppo V. 6 Henríquez, Hernán R. 6 Ji, Chunyan 6 Li, Fang 6 Li, Xiaodi 6 Liu, Chao 6 Liu, Xianning 6 Llibre, Jaume 6 Shaked, Uri 6 Song, Xinyu 6 Xiao, Ti-Jun 6 Zhao, Zhong 6 Zhou, Baoquan 6 Zhou, Qinghua 5 Allen, Linda J. S. 5 Anderson, Douglas Robert 5 Cao, Zhongwei 5 Carl, Siegfried 5 Chang, Yong-Kui 5 Cheng, Pei 5 Chyan, Chuan Jen 5 Dehghan Takht Fooladi, Mehdi 5 Deng, Feiqi 5 Dong, Lingzhen 5 Eloe, Paul W. 5 Gasull, Armengol 5 Graef, John R. 5 Han, Maoan 5 Hao, Zhaocai 5 Hu, Shigeng 5 Jiang, Guirong 5 Jiang, Jifa 5 Li, Yongfeng 5 Ma, Zhien 5 Pei, Yongzhen 5 Sun, Hongrui 5 Tan, Dejun 5 Wang, Yi 5 Wong, Patricia J. Y. 5 Xie, Wei-Chau 5 Xu, Rui 5 Yan, Jurang 5 Yang, Zhichun ...and 1,610 more Authors
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### Cited in 239 Journals

 131 Journal of Mathematical Analysis and Applications 89 Applied Mathematics and Computation 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Computers & Mathematics with Applications 59 Journal of Computational and Applied Mathematics 50 Chaos, Solitons and Fractals 39 Mathematical and Computer Modelling 39 Abstract and Applied Analysis 36 Nonlinear Analysis. Real World Applications 32 Journal of Differential Equations 31 Applied Mathematics Letters 31 Advances in Difference Equations 26 Automatica 25 Nonlinear Analysis. Hybrid Systems 24 Journal of the Franklin Institute 23 Communications in Nonlinear Science and Numerical Simulation 19 Physica A 19 Systems & Control Letters 18 Discrete Dynamics in Nature and Society 14 Journal of Applied Mathematics and Computing 12 Applied Mathematical Modelling 11 Rocky Mountain Journal of Mathematics 11 Journal of Optimization Theory and Applications 11 Mathematics and Computers in Simulation 11 Stochastic Analysis and Applications 10 Statistics & Probability Letters 10 Applied Numerical Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications 8 International Journal of Control 8 Mathematical Methods in the Applied Sciences 8 Mathematical Problems in Engineering 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Nonlinear Dynamics 8 Journal of Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 6 Mathematical Biosciences 6 European Journal of Operational Research 6 Boundary Value Problems 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Dynamics and Differential Equations 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Complexity 5 Journal of Inequalities and Applications 4 Fuzzy Sets and Systems 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Control and Optimization 4 Theoretical Population Biology 4 Applications of Mathematics 4 Stochastic Processes and their Applications 4 Journal of Mathematical Sciences (New York) 4 Computational and Applied Mathematics 4 Bulletin des Sciences Mathématiques 4 Differential Equations and Dynamical Systems 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Acta Mathematica Sinica. English Series 4 Journal of Biological Systems 4 Differential Equations 4 Nonlinear Analysis. Modelling and Control 4 Afrika Matematika 4 AIMS Mathematics 3 Applicable Analysis 3 Journal of Computational Physics 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Optimization 3 Numerical Functional Analysis and Optimization 3 Insurance Mathematics & Economics 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 Physica D 3 Japan Journal of Industrial and Applied Mathematics 3 Automation and Remote Control 3 Russian Mathematics 3 European Journal of Control 3 International Journal of Differential Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Journal of Mathematical Economics 2 Journal of Statistical Planning and Inference 2 Kybernetika 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Optimization 2 Journal of Symbolic Computation 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Integral Equations and Applications 2 Neural Networks 2 Annals of Operations Research 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Nonlinear Science 2 Computational Optimization and Applications ...and 139 more Journals
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### Cited in 47 Fields

 756 Ordinary differential equations (34-XX) 364 Biology and other natural sciences (92-XX) 235 Systems theory; control (93-XX) 232 Probability theory and stochastic processes (60-XX) 168 Partial differential equations (35-XX) 141 Dynamical systems and ergodic theory (37-XX) 127 Difference and functional equations (39-XX) 118 Numerical analysis (65-XX) 115 Operator theory (47-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Integral equations (45-XX) 26 Operations research, mathematical programming (90-XX) 21 Mechanics of particles and systems (70-XX) 21 Fluid mechanics (76-XX) 18 Mechanics of deformable solids (74-XX) 14 Computer science (68-XX) 13 Real functions (26-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Statistics (62-XX) 10 Geophysics (86-XX) 6 Special functions (33-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)