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On Nonlinear Integrodifferential Equations in Two Variables

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Abstract

This paper is devoted to the study of existence results and some properties of solutions of m-order nonlinear integrodifferential equations in two variables. The main tools are the Banach fixed point theorem or Schauder fixed point theorem coupled with the definitions of suitable Banach spaces and adding appropriate conditions which are useful to yield relatively compact subsets in these space. To our knowledge, these techniques have not been used before. In order to illustrate the results obtained here, two examples are given.

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Authors and Affiliations

  1. Department of Mathematics, University of Economics of Ho Chi Minh City, 59C Nguyen Dinh Chieu Str., Dist. 3, Ho Chi Minh City, Vietnam

    Pham Hong Danh

  2. Department of Mathematics, University of Architecture of Ho Chi Minh City, 196 Pasteur Str., Dist. 3, Ho Chi Minh City, Vietnam

    Huynh Thi Hoang Dung

  3. Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Vietnam

    Nguyen Thanh Long

  4. University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, Vietnam

    Le Thi Phuong Ngoc

Authors
  1. Pham Hong Danh
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  2. Huynh Thi Hoang Dung
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  3. Nguyen Thanh Long
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  4. Le Thi Phuong Ngoc
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Correspondence to Nguyen Thanh Long.

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Danh, P.H., Dung, H.T.H., Long, N.T. et al. On Nonlinear Integrodifferential Equations in Two Variables. Results Math 71, 251–281 (2017). https://doi.org/10.1007/s00025-015-0508-5

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  • DOI: https://doi.org/10.1007/s00025-015-0508-5

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