Existence of solutions for a class of IBVP for nonlinear hyperbolic equations

Svetlin Georgiev Georgiev () and Mohamed Majdoub ()
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Svetlin Georgiev Georgiev: Imam Abdulrahman Bin Faisal University
Mohamed Majdoub: Imam Abdulrahman Bin Faisal University

Partial Differential Equations and Applications, 2020, vol. 1, issue 4, 1-20

Abstract: Abstract We study a class of initial boundary value problems of hyperbolic type. A new topological approach is applied to prove the existence of non-negative classical solutions. The arguments are based upon a recent theoretical result.

Keywords: Hyperbolic equations; Positive solution; Fixed point; Cone; Sum of operators; 47H10; 58J20; 35L15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00023-1

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