A new approach to BVPs with state-dependent impulses

[1] Afonso SM(2011)Discontinuous local semiflows for Kurzweil equations leading to LaSalle’s invariance principle for differential systems with impulses at variable times J. Differ. Equ 250 2969-3001

[2] Bonotto EM(2004)Impulsive functional differential equations with variable times Comput. Math. Appl 47 1659-1665

[3] Federson M(2006)Nonoscillation and positivity of solutions to first order state-dependent differential equations with impulses in variable moments J. Differ. Equ 228 39-48

[4] Schwabik Š(1996)Impulsive differential equations with variable times Nonlinear Anal 26 1913-1922

[5] Benchohra M(1994)Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times Nonlinear Anal 22 1263-1270

[6] Henderson J(2006)Existence of periodic solution of a harvested system with impulses at variable times Phys. Lett. A 360 105-108

[7] Ntouyas SK(2001)Existence of limit cycles of impulsive differential equations with impulses at variable times Nonlinear Anal 44 345-353

[8] Ouahab A(1996)Periodic boundary value problem for first order differential equations with impulses at variable times J. Math. Anal. Appl 204 65-73

[9] Domoshnitsky A(2005)Periodic Duffing delay equations with state dependent impulses J. Math. Anal. Appl 306 646-662

[10] Drakhlin M(2006)Periodic Liénard-type delay equations with state-dependent impulses Nonlinear Anal 64 568-589

[1] Afonso SM(2011)Discontinuous local semiflows for Kurzweil equations leading to LaSalle’s invariance principle for differential systems with impulses at variable times J. Differ. Equ 250 2969-3001

[2] Bonotto EM(2004)Impulsive functional differential equations with variable times Comput. Math. Appl 47 1659-1665

[3] Federson M(2006)Nonoscillation and positivity of solutions to first order state-dependent differential equations with impulses in variable moments J. Differ. Equ 228 39-48

[4] Schwabik Š(1996)Impulsive differential equations with variable times Nonlinear Anal 26 1913-1922

[5] Benchohra M(1994)Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times Nonlinear Anal 22 1263-1270

[6] Henderson J(2006)Existence of periodic solution of a harvested system with impulses at variable times Phys. Lett. A 360 105-108

[7] Ntouyas SK(2001)Existence of limit cycles of impulsive differential equations with impulses at variable times Nonlinear Anal 44 345-353

[8] Ouahab A(1996)Periodic boundary value problem for first order differential equations with impulses at variable times J. Math. Anal. Appl 204 65-73

[9] Domoshnitsky A(2005)Periodic Duffing delay equations with state dependent impulses J. Math. Anal. Appl 306 646-662

[10] Drakhlin M(2006)Periodic Liénard-type delay equations with state-dependent impulses Nonlinear Anal 64 568-589