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Zbl 0456.34002
Lakshmikantham, V.; Leela, S.
Nonlinear differential equations in abstract spaces. (English)
[B] International Series in Nonlinear Mathematics: Theory, Methods and Applications, Vol. 2. Oxford etc.: Pergamon Press. X, 258 p. \$ 45.00; \sterling 18.75 (1981).

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MSC 2000:: *34-02 Research monographs (ordinary differential equations)
34G20 Nonlinear ODE in abstract spaces
34B15 Nonlinear boundary value problems of ODE
34D20 Lyapunov stability of ODE
34A12 Initial value problems for ODE
34C11 Qualitative theory of solutions of ODE: Growth, etc.
34E10 Asymptotic perturbations (ODE)

Keywords: book; nonlinear ordinary differential equations in Banach spaces; measures of noncompactness; Cauchy problem; compactness type conditions; dissipative type conditions; successive approximations; existence in closed sets; nonlinear semigroups; (m-) dissipative operators; difference approximations; integral solutions and limit solutions; global existence; differential inequalities in cones; quasilinearizations; asymptotic equilibrium; stability; asymptotic behavior; Lyapunov functions; weak (non-) compactness; equations with delay; boundary value problems; monotone iterative methods

Citations: Zbl 0257.34002; Zbl 0333.47023; Zbl 0361.34050

Cited in: Zbl 1240.34274 Zbl 0776.34049 Zbl 0774.45007 Zbl 0744.34058 Zbl 0694.34001 Zbl 0718.34087 Zbl 0605.60060

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