- Carathéodory , C. 1948 . Vorlesungen über Reelle Funtionen , New-York : Chelsea Publishing Company .
- DuChateau , P. and Zachmann , D. Applied Partil Differential Equations , New York : Harper & Row Publishers .
- Dunford , N. and Schwartz , J. 1958 . Linear operators I , New York London : Interscience .
- Heikkilä , S. 1989 . On Operator and integral equations with discontinuous right hand sides . J. Math. Anal. Appl. , 140 : 200 – 217 .
- Heikkilä S. Monotone methods with applications to nonlinear analysis Proceedings of the First Congree of Nonlinear Analysts Walter de Gruyter Publishrs Berlin Tampa(U.S.A) (to appear)
- Heikkilä , S. and Lakshmikantham , V. 1994 . Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations , New York : Marcel Dekker .
- Heikkilä , S. , Lakshmikantham , V. and Sun , Y. 1992 . Fixed point results and ordered normed spaces with applications to abstract and differential equations . J. Math. Anal. Appl. , 163 : 422 – 437 .
- Hille , E. and Phillips , R. S. 1957 . Functional Analysis and Semigroups . Amer. Math. Soc. Coll. Publ. , 31
- Krasnoseľ skii , M. A. 1964 . “ Positive Solutions of Operator Equations ” . In Norrdhoff-Groningen Netherlands
- Ladas , G. and Lakshmikantham , V. 1972 . Diferential equations in Abstract Spaces , New York London : Academic Press .
- LakshmiKantham , V. and Leeda , S. 1981 . Nonlinear Differential Equations in Abstract Spaces , Oxford : Pergamon Press .
- Martin , R. H. 1977 . “ Nonlinear perturbations of linear evolution systems ” . In J. Math. Soc. Vol. 29 , 233 – 25 . Japan
- Seikkala , S. 1978 . On the method of successive approximations for nonlinear equations in spaces of continuous functions . Acta univ. Oul. , 76
- Shragin , I. V. 1978 . On the Carathéodory conditions . Russian Math Surveys , 34 ( 3 ) : 183 – 189 .
- Yoshida , K. 1974 . Functional Analysis , New York Heidelberg Berlin : Springer-verlag .
On mild solutions of first order discontinuous semiliear differential equations in banach spaces
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.