Geodesic
Stability Theorems in the First-Order Approximation for Differential Inclusions
Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 517-530

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We establish multi-valued and infinite-dimensional versions of stability theorems in the first-order approximation. The differential inclusions treated as first-order approximations can be nonautonomous and, in several cases under study, nonhomogeneous with respect to the phase variable. We outline applications in stability theory of solutions to parabolic inclusions. 
@article{MZM_2004_76_4_a4,
     author = {V. S. Klimov},
     title = {Stability {Theorems} in the {First-Order} {Approximation} for {Differential} {Inclusions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {517--530},
     publisher = {mathdoc},
     volume = {76},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a4/}
}
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V. S. Klimov. Stability Theorems in the First-Order Approximation for Differential Inclusions. Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 517-530. http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a4/