On the existence of solutions of the Darboux problem for the hyperbolic partial differential equations in Banach spaces

zbMath0656.35087MaRDI QIDQ1109970

Bogdan Rzepecki

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__76__201_0

zbMATH Keywords

existencemeasure of noncompactnessBanach spaceDarboux problemLipschitz condition

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (1)

On the Darboux problem for partial differential-functional equations with infinite delay at derivatives

Cites Work

• On the solution of simultaneous first order implicit differential equations
• Sulla risoluzione dell'equazione \(F(t, x, dx/dt) = 0\)
• Equazioni differenziali in forma implicita in uno spazio di Banach
• Ordinary differential equations in Banach spaces
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Punti uniti in trasformazioni a codominio non compatto
• LIMIT-COMPACT AND CONDENSING OPERATORS
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