scientific article; zbMATH DE number 7457679

zbMath1481.35265MaRDI QIDQ5021872

Svetlin G. Georgiev, Khaled Zennir

Publication date: 14 January 2022

Full work available at URL: http://www.mathem.pub.ro/apps/v22/A22-ge-ZAH48.pdf

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zbMATH Keywords

positive solutionfixed point approach

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Index theory and related fixed-point theorems on manifolds (58J20) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Classical solutions for a class of nonlinear wave equations

Cites Work

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• Fixed point index theory for perturbation of expansive mappings by \(k\)-set contractions
• Almost global existence to nonlinear wave equations in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Asymptotic behaviour of solutions of the first boundary-value problem for strongly hyperbolic systems near a conical point at the boundary of the domain
• Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs
• Multiple positive fixed points for the sum of expansive mappings and k‐set contractions
• The null condition for quasilinear wave equations in two space dimensions. I

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