Some growth and convexity theorems for second-order equations

DOI10.1016/0022-247X(67)90138-2zbMath0148.06002OpenAlexW2061111553MaRDI QIDQ2524711

Robert W. Carroll

Publication date: 1967

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(67)90138-2

zbMATH Keywords

ordinary differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of linear operators (47Axx)

Related Items (4)

Canonical sequences of singular cauchy problems ⋮ Logarithmic Convexity, First Order Differential Inequalities and Some Applications ⋮ Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics ⋮ On a theorem of Knops and Payne in dynamical linear thermo-elasticity

Cites Work

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• On a Cauchy problem with subharmonic initial values
• Some singular Cauchy problems
• Fractional powers of dissipative operators
• On the propagator equation
• Integration of the equation of evolution in a Banach space
• Asymptotic behavior of solutions of hyperbolic inequalities
• On the Degenerate Cauchy Problem
• Some uniqueness theorems for differential equations with operator coefficients
• Convexity Properties for Weak Solutions of Some Differential Equations in Hilbert Spaces
• Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
• Properties of solutions of ordinary differential equations in banach space

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