Gene

Banach space

Fixed point

Fixed-point theorem

Ecology

Biology

Applied mathematics

Biochemistry

Computer science

Resolvent formalism

Resolvent

Type (biology)

Mathematics

Transcription factor

Mathematical analysis

Artificial intelligence

Geometry

Repressor

Point (geometry)

Chemistry

Operator (biology)

Class (philosophy)

Finite-rank operator

Mathematical Methods in the Applied Sciences

In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii‐Krasnosel'skii type of fixed point theorem and to show the usefulness and the applicability of our results to a broad class of functional integrodifferential equations, an example is given to illustrate the theory.

Existence of solutions for some functional integrodifferential equations with nonlocal conditions