References
Aronszajn, N.: Le correspondent topologique de l'unicité dans la théorie des équations differentielles. Ann. of Math.43, 730–738 (1942).
Browder, F. E., Gupta, C. P.: Topological degree and nonlinear mappings of analytic type in Banach spaces. J. Math. Analysis Appl.26, 390–402 (1969).
—, Petryshyn, W. V.: The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Bull. Amer. Math. Soc.74, 641–646 (1968).
Cronin, J.: Fixed points and topological degree in nonlinear analysis. Math. Surveys No. 11. Providence, Amer. Math. Soc. (1964).
Deimling, K.: Eigenschaften der Lösungsmenge eines Systems von Volterra-Integralgleichungen. Manuscripta Math. (submitted).
Deimling, K.: On the set of solutions of a system of Volterra integral equations. Ann. Mat. Pura Appl. (in print).
Krasnosel'skii, M. A., Sobolevskii, P. E.: Structure of the set of solutions of an equation of parabolic type. Doklady Akad. Nauk SSSR146, 26–29 (1962) and Ukrain. Math. Žurn.16, 319–333 (1964).
Petryshyn, W. V.: Further remarks on nonlinearP-compact operators in Banach space. J. Math. Analysis Appl.16, 243–253 (1966).
Petryshyn, W. V.: Iterative construction of fixed points of contractive type mappings in Banach space. C.I.M.E. Lecture notes, Ispra, Italy (1967).
—, Tucker, T. S.: On the functional equations involving nonlinear generalizedP-compact operators. Trans. Amer. Math. Soc.135, 343–373 (1969).
Stampacchia, G.: Le trasformazioni funzionali che presentano il fenomeno di Peano. Rend. Accad. Lincei7, 80–84 (1949).
Vidossich, G.: On Peano phenomenon. Boll. Un. Mat. Ital. (to appear).
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Deimling, K. Fixed points of generalizedP-compact operators. Math Z 115, 188–196 (1970). https://doi.org/10.1007/BF01109857
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DOI: https://doi.org/10.1007/BF01109857