Global solutions to certain nonlinear functional differential equations

DOI10.1016/0022-247X(71)90061-8zbMath0191.15302MaRDI QIDQ2537879

P. O. Frederickson

Publication date: 1971

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

zbMATH Keywords

functional analysis

Related Items (15)

On the functional-differential equation of advanced type \(f^{\prime}(x)=af(2x)\) with \(f(0)=0\) ⋮ On the functional-differential equation of advanced type \(f^{\prime }(x)=af(\lambda x), \lambda >1\), with \(f(0)=0\) ⋮ On the asymptotic properties of solutions of some functional-differential equations ⋮ On the asymptotic properties of solutions of functional-differential equations with linearly transformed argument ⋮ The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$ ⋮ On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument ⋮ Quarkonial decomposition suitable for functional-differential equations of delay type ⋮ On neutral functional-differential equations with proportional delays ⋮ Asymptotic behavior of solutions of the functional differential equation \(x'(t) =Ax(\lambda t)+Bx(t)\), \(\lambda >0\) ⋮ Asymptotic properties of the solutions of functional-differential equation with linearly transformed argument ⋮ A family of solutions of the IVP for the equation \(x'(t)=ax(\lambda t), \lambda>1\) ⋮ Bounded solutions of nonlinear difference equations with advanced arguments ⋮ Regular solutions of the Shabat equation ⋮ Asymptotic behavior of solutions of the functional differential equation \(x'(t)=ax(t)+bx(t^\alpha), a>1\) ⋮ Asymptotic bounds for the solutions of functional and functional-differential equations with constant and linear delays

Cites Work

• Asymptotic oscillation results for solutions to first-order nonlinear differential-difference equations of advanced type
• An Existence Theorem for a Solution of $f'(x) = F(x,f(g(x)))$
• On the Local Existence of Solutions of Certain Functional-Differential Equations
• Unnamed Item

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