Existence results for evolution equations with superlinear growth
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J. Andres, L. Malaguti and V. Taddei, On boundary value problems in Banach spaces, Dynamic Syst. Appl. 18 (2009), 275–302.
I. Benedetti, N.V. Loi and V. Taddei, Nonlocal diffusion second order partial differential equations, Discrete Contin. Dyn. Syst. Ser. A 37 (2017), no. 6 , 2977–2998.
I. Benedetti, L. Malaguti and V. Taddei, Nonlocal solutions of parabolic equations with strongly elliptic differential operators, J. Math. Anal. Appl. 473 (2019), 421–443.
K. Deimling, Nonlinear Functional Analysis, Springer–Verlag, 1980.
G. Dinca, P. Jebelean and J. Mawhin, Variational and topological methods for Dirichlet problems with p-Laplacian, Port. Math. 58, (2001), Fasc. 3, 339–378.
M. Furi and P. Pera, A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Ann. Polon. Math. 47 (1987), 331–346.
R.E. Gaines and J.L. Mawhin, Ordinary differential equations with nonlinear boundary conditions, J. Differential Equations 26 (1977), 200–222.
V. Lakshmikantham and S. Leela, Nonlinear Differential Equations in Abstract Spaces, Pergamon Press, 1981.
J. Leray and J. Schauder, Topologie et Equations Fonctionelles, Ann. Sci. Éc. Norm. Supér. 51 (1934), 45–78.
J. Mawhin and H. B. Thompson, Periodic or bounded solutions of Carathéodory systems of ordinary differential equations, J. Dynam. Differential Equations 15 (2003), 327–334.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer–Verlag, 1983.
M.M. Vainberg, Variational Methods for the Study of Nonlinear Operators, Holden–Day, Inc. 1964.
I.I. Vrabie, Compactness Methods for Nonlinear Evolutions, Second Edition, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 75, Longman, 1995.
I.I. Vrabie, C0 -Semigroups and Applications, North-Holland Mathematics Studies, vol. 191, North-Holland Elsevier, 2003.
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