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Two-Point Boundary Value Problems for First Order Causal Difference Equations

Author

Listed:
  • Wen-Li Wang

    (China University of Geosciences, Great Wall College)

  • Jing-Feng Tian

    (North China Electric Power University)

  • Wing-Sum Cheung

    (University of Hong Kong)

Abstract

This paper focuses on two-point boundary value problem for first order causal difference equations. We will start with two new comparison theorems. Then, by utilizing these theorems and fixed point theorems, we obtain the existence of solutions for the corresponding linear problem. By applying monotone iterative technique, sufficient conditions for the existence of extremal solutions are also established. The results of this paper extend some existing results in the literature. Finally, two examples to show the usefulness of our results are exhibited.

Suggested Citation

  • Wen-Li Wang & Jing-Feng Tian & Wing-Sum Cheung, 2020. "Two-Point Boundary Value Problems for First Order Causal Difference Equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1399-1416, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0473-x
    DOI: 10.1007/s13226-020-0473-x
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