Existence and uniqueness of extremal mild solutions for non-autonomous nonlocal integro-differential equations via monotone iterative technique | Zendy

Arshi Meraj | Zendy; Dwijendra N. Pandey | Zendy

Open Access

Existence and uniqueness of extremal mild solutions for non-autonomous nonlocal integro-differential equations via monotone iterative technique

Author(s) -

Arshi Meraj,

Dwijendra N. Pandey

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1910985m

Subject(s) - mathematics , uniqueness , monotone polygon , banach space , mathematical analysis , differential equation , iterative method , work (physics) , space (punctuation) , mathematical optimization , geometry , mechanical engineering , linguistics , philosophy , engineering

In this work, we will discuss the existence and uniqueness of extremal mild solutions for non-autonomous integro-differential equations having nonlocal condition via monotone iterative method with upper and lower solutions in an ordered Banach space X, using evolution system and measure of noncompactness.

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