The Non-Local Existence Problem of Ordinary Differential Equations

DOI10.2307/2371729zbMath0063.08284OpenAlexW2323845457MaRDI QIDQ5846893

Aurel Wintner

Publication date: 1945

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2371729

Related Items

Global existence problem for singular functional differential equations, Existence results for differential delay equations in Banach spaces, A Continuation Result for Differential Equations, Time-asymptotic traveling-wave solutions to the nonlinear Vlasov–Poisson–Ampère equations, Nonlinear character dependent models with constant time delay in population dynamics, Power series solutions, Existence, uniqueness, and stability of stochastic neutral functional differential equations of Sobolev-type, Global existence of solutions for perturbed differential equations, Nonlinear first-order initial and periodic problems in Banach spaces, Global existence for second order functional semilinear equations, A multiplicity result for a nonlinear boundary value problem, Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition., Weak and strong extensions of first-order differential operators in \(R^m\), Lyapunov criteria for robust forward completeness of distributed parameter systems, A Criterion for Global Existence in Case of Ordinary Differentia!, Cauchy problems for hyperbolic systems in \(\mathbb{R}^n\) with irregular principal symbol in time and for \(x \rightarrow \infty \), Global Existence for functional Integro—differential Equations of Delay and Neutral Type, Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\), Completeness of first and second order ODE flows and of Euler-Lagrange equations, On robustness of impulsive stabilization, Existence-uniqueness and continuation theorems for stochastic functional differential equations, Moment estimate and existence for solutions of stochastic functional differential equations, Global Cauchy problems for hyperbolic systems with characteristics admitting superlinear growth for \( |x|\rightarrow \infty \), Nonlinear synchronization on connected undirected networks, A nonlocal existence theorem for systems of ordinary differential equations, Solutions to fractional differential equations that extend, Nonlocal continuation and boundedness results for nonlinear differential systems, Continuation results for differential equations by two Liapunov functions, On a Lyapunov Characterization of Input-To-State Stability for Impulsive Systems with Unstable Continuous Dynamics, On the non-existence of L² solutions of a class of non-linear differential equations, Continuability of solutions of perturbed differential equations