On pantograph integro-differential equations
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Publication:1343033
DOI10.1216/jiea/1181075805zbMath0816.45005OpenAlexW2016883496MaRDI QIDQ1343033
Publication date: 20 July 1995
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181075805
monotonicityoscillationasymptotic stabilitywell-posednessinitial value problemneutral functional differential equationspantograph integro-differential equations
Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Neutral functional-differential equations (34K40)
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Cites Work
- Unnamed Item
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- On neutral functional-differential equations with proportional delays
- Theory of functional differential equations. 2nd ed
- Existence and uniqueness theorems for some functional differential equations of neutral type
- Unstable Neutral Fuctional Differential Equations
- On the generalized pantograph functional-differential equation
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x)
- Stability and Asymptotic Stability of Functional-Differential Equations
- The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
- On a Functional Differential Equation
- Monotonic and Oscillatory Solutions of a Linear Neutral Delay Equation with Infinite Lag
- On a Special Functional Equation
- What is the Laplace Transform?
