On a Kirchhoff-Carrier equation with nonlinear terms containing a finite number of unknown values.

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs of mixed type (35M11)

Cites Work

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On some nonlinear perturbation of Kirchhoff-Carrier operator
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Vorlesungen über mathematische Physik. Erster Band: Mechanik. Vierte Auflage. Herausgegeben von W. Wien. Mit 18 Figuren im Text.
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On the non-linear vibration problem of the elastic string
Existence and asymptotic behaviour for a degenerate Kirchhoff-Carrier model with viscosity and nonlinear boundary conditions
Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator

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