Boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders

DOI10.1007/s11253-022-02111-4zbMath1503.35108OpenAlexW4309883361MaRDI QIDQ2107824

S. S. Kharibegashvili, B. G. Midodashvili

Publication date: 5 December 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02111-4

zbMATH Keywords

boundary conditions in space and time

Mathematics Subject Classification ID

Higher-order hyperbolic systems (35L55) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

• Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order
• On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
• Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations
• Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms
• A boundary value problem for higher-order semilinear partial differential equations
• Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations
• Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
• Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order
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