“The exposition of this book is clear and several results are self-contained. Many results related to nonlinear non-Fredholm operators and their applications are discussed in detail, especially for the case of non-Fredholm operators where the usual solvability conditions are not applicable. A rich bibliography with 63 entries is provided. The book is addressed to graduate researchers interested in nonlinear non-Fredholm operators and their applications.” (Bilel Krichen, zbMATH 1533.47003, 2024)“The book is organized into five chapters that unfold over 208 pages … . This work is written in a very clear and objective way, presenting at the beginning of each chapter a brief general description of the subjects to be covered therein and, subsequently, the content of each chapter evolves considerably towards a more formal presentation of results and their proofs ... .” (Luís P Castro, Mathematical Reviews, April, 2024)

• 1 Auxiliary Materials.- 2 Solvability in the sense of sequences: non-Fredholm operators.- 3 Solvability of some integro-differential equations with mixed diffusion.- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion.- 5 Non-Fredholm Schrödinger type operators.

“The exposition of this book is clear and several results are self-contained. Many results related to nonlinear non-Fredholm operators and their applications are discussed in detail, especially for the case of non-Fredholm operators where the usual solvability conditions are not applicable. A rich bibliography with 63 entries is provided. The book is addressed to graduate researchers interested in nonlinear non-Fredholm operators and their applications.” (Bilel Krichen, zbMATH 1533.47003, 2024)“The book is organized into five chapters that unfold over 208 pages … . This work is written in a very clear and objective way, presenting at the beginning of each chapter a brief general description of the subjects to be covered therein and, subsequently, the content of each chapter evolves considerably towards a more formal presentation of results and their proofs ... .” (Luís P Castro, Mathematical Reviews, April, 2024)

• 1 Auxiliary Materials.- 2 Solvability in the sense of sequences: non-Fredholm operators.- 3 Solvability of some integro-differential equations with mixed diffusion.- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion.- 5 Non-Fredholm Schrödinger type operators.

“The exposition of this book is clear and several results are self-contained. Many results related to nonlinear non-Fredholm operators and their applications are discussed in detail, especially for the case of non-Fredholm operators where the usual solvability conditions are not applicable. A rich bibliography with 63 entries is provided. The book is addressed to graduate researchers interested in nonlinear non-Fredholm operators and their applications.” (Bilel Krichen, zbMATH 1533.47003, 2024)“The book is organized into five chapters that unfold over 208 pages … . This work is written in a very clear and objective way, presenting at the beginning of each chapter a brief general description of the subjects to be covered therein and, subsequently, the content of each chapter evolves considerably towards a more formal presentation of results and their proofs ... .” (Luís P Castro, Mathematical Reviews, April, 2024)

• 1 Auxiliary Materials.- 2 Solvability in the sense of sequences: non-Fredholm operators.- 3 Solvability of some integro-differential equations with mixed diffusion.- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion.- 5 Non-Fredholm Schrödinger type operators.