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Volumn 2, Issue 3, 2008, Pages 971-979

The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited

Author keywords

Delay equations; Differential equations in a Banach space; Exponential dichotomy; Impulsive perturbation

Indexed keywords

IMPULSIVE DIFFERENTIAL EQUATIONS; IMPULSIVE EQUATIONS;

EID: 45449085407     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2008.04.002     Document Type: Article
Times cited : (11)

References (21)
  • 1
    • 84941375215 scopus 로고
    • Über Differentialungleichungen
    • Bohl P. Über Differentialungleichungen. J. Reine Angew. Math. 144 (1913) 284-318
    • (1913) J. Reine Angew. Math. , vol.144 , pp. 284-318
    • Bohl, P.1
  • 5
    • 14844304003 scopus 로고
    • A perturbation-accumulation problem for linear differential equations with time-lag
    • Tyshkevich V.A. A perturbation-accumulation problem for linear differential equations with time-lag. Differ. Equ. 14 (1978) 177-186
    • (1978) Differ. Equ. , vol.14 , pp. 177-186
    • Tyshkevich, V.A.1
  • 6
    • 0000987492 scopus 로고
    • Stability of linear systems with time-lag
    • 27 (1991) 383-388, 1165-1172; 29 (1993) 153-160
    • Azbelev N.V., Berezansky L.M., Simonov P.M., and Chistyakov A.V. Stability of linear systems with time-lag. Differ. Equ. 23 (1987) 493-500 27 (1991) 383-388, 1165-1172; 29 (1993) 153-160
    • (1987) Differ. Equ. , vol.23 , pp. 493-500
    • Azbelev, N.V.1    Berezansky, L.M.2    Simonov, P.M.3    Chistyakov, A.V.4
  • 7
    • 14844295060 scopus 로고
    • Stability of functional differential equations
    • Kurbatov V.G. Stability of functional differential equations. Differ. Equ. 17 (1981) 611-618
    • (1981) Differ. Equ. , vol.17 , pp. 611-618
    • Kurbatov, V.G.1
  • 8
    • 0040151055 scopus 로고
    • Characteristic exponents of impulsive differential equations in a Banach space
    • Zabreiko P.P., Bainov D.D., and Kostadinov S.I. Characteristic exponents of impulsive differential equations in a Banach space. Internat. J. Theoret. Phys. 27 6 (1988) 731-743
    • (1988) Internat. J. Theoret. Phys. , vol.27 , Issue.6 , pp. 731-743
    • Zabreiko, P.P.1    Bainov, D.D.2    Kostadinov, S.I.3
  • 9
    • 34249758680 scopus 로고
    • Existence of exponential dichotomy of a class of impulsive differential equations
    • Bainov D.D., Kostadinov S.I., Van Minh N., and Zabreiko P.P. Existence of exponential dichotomy of a class of impulsive differential equations. Internat. J. Theoret. Phys. 34 1 (1995) 135-143
    • (1995) Internat. J. Theoret. Phys. , vol.34 , Issue.1 , pp. 135-143
    • Bainov, D.D.1    Kostadinov, S.I.2    Van Minh, N.3    Zabreiko, P.P.4
  • 10
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equations
    • Anokhin A., Berezansky L., and Braverman E. Exponential stability of linear delay impulsive differential equations. J. Math. Anal. Appl. 193 (1995) 923-941
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 923-941
    • Anokhin, A.1    Berezansky, L.2    Braverman, E.3
  • 11
    • 33646194644 scopus 로고    scopus 로고
    • Perron's theorem for linear impulsive differential equations with distributed delay
    • Akhmet M.U., Alzabut J., and Zafer A. Perron's theorem for linear impulsive differential equations with distributed delay. J. Comput. Appl. Math. 193 1 (2006) 204-218
    • (2006) J. Comput. Appl. Math. , vol.193 , Issue.1 , pp. 204-218
    • Akhmet, M.U.1    Alzabut, J.2    Zafer, A.3
  • 12
    • 0000129973 scopus 로고    scopus 로고
    • The concept of spectral dichotomy for linear difference equations. II
    • Aulbach B., and Van Minh N. The concept of spectral dichotomy for linear difference equations. II. J. Difference Equ. Appl. 2 (1996) 251-262
    • (1996) J. Difference Equ. Appl. , vol.2 , pp. 251-262
    • Aulbach, B.1    Van Minh, N.2
  • 13
    • 14844290879 scopus 로고    scopus 로고
    • On exponential dichotomy, Bohl-Perron type theorems and stability of difference equations
    • Berezansky L., and Braverman E. On exponential dichotomy, Bohl-Perron type theorems and stability of difference equations. J. Math. Anal. Appl. 304 (2005) 511-530
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 511-530
    • Berezansky, L.1    Braverman, E.2
  • 14
    • 7444246244 scopus 로고    scopus 로고
    • A criterion for the exponential stability of linear difference equations
    • Pituk M. A criterion for the exponential stability of linear difference equations. Appl. Math. Lett. 17 (2004) 779-783
    • (2004) Appl. Math. Lett. , vol.17 , pp. 779-783
    • Pituk, M.1
  • 15
    • 21844517182 scopus 로고
    • Boundedness and stability of impulsively perturbed systems in a Banach space
    • Berezansky L., and Braverman E. Boundedness and stability of impulsively perturbed systems in a Banach space. Internat. J. Theoret. Phys. 33 10 (1994) 2075-2090
    • (1994) Internat. J. Theoret. Phys. , vol.33 , Issue.10 , pp. 2075-2090
    • Berezansky, L.1    Braverman, E.2
  • 16
    • 84972534266 scopus 로고
    • Bounded and periodic solutions of differential equations with impulse effect in a Banach space
    • Bainov D.D., Zabreiko P.P., and Kostadinov S.I. Bounded and periodic solutions of differential equations with impulse effect in a Banach space. Differential Integral Equations 1 2 (1988) 230-233
    • (1988) Differential Integral Equations , vol.1 , Issue.2 , pp. 230-233
    • Bainov, D.D.1    Zabreiko, P.P.2    Kostadinov, S.I.3
  • 17
    • 38149147243 scopus 로고
    • Periodicity and stability of linear Volterra difference systems
    • Elaydi S. Periodicity and stability of linear Volterra difference systems. J. Math. Anal. Appl. 181 (1994) 483-492
    • (1994) J. Math. Anal. Appl. , vol.181 , pp. 483-492
    • Elaydi, S.1
  • 18
    • 0000443340 scopus 로고
    • Stability and periodicity of difference equations with finite delay
    • Elaydi S., and Zhang S. Stability and periodicity of difference equations with finite delay. Funkcial. Ekvac. 37 (1994) 401-413
    • (1994) Funkcial. Ekvac. , vol.37 , pp. 401-413
    • Elaydi, S.1    Zhang, S.2
  • 19
    • 35148897983 scopus 로고
    • Boundedness and stability of linear impulsive delay differential equations
    • Berezansky L., and Braverman E. Boundedness and stability of linear impulsive delay differential equations. Funct. Differ. Equ. 3 1-2 (1995) 19-30
    • (1995) Funct. Differ. Equ. , vol.3 , Issue.1-2 , pp. 19-30
    • Berezansky, L.1    Braverman, E.2
  • 20
    • 34247626993 scopus 로고    scopus 로고
    • Integral equations on function spaces and dichotomy on the real line
    • Sasu A.L. Integral equations on function spaces and dichotomy on the real line. Integral Equations Operator Theory 58 1 (2007) 133-152
    • (2007) Integral Equations Operator Theory , vol.58 , Issue.1 , pp. 133-152
    • Sasu, A.L.1
  • 21
    • 12744274361 scopus 로고    scopus 로고
    • Perron conditions for pointwise and global exponential dichotomy of linear skew-product flows
    • Megan M., Sasu A.L., and Sasu B. Perron conditions for pointwise and global exponential dichotomy of linear skew-product flows. Integral Equations Operator Theory 50 4 (2004) 489-504
    • (2004) Integral Equations Operator Theory , vol.50 , Issue.4 , pp. 489-504
    • Megan, M.1    Sasu, A.L.2    Sasu, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.