The generic property of existence of solutions of differential equations in Banach space
From MaRDI portal
Publication:2560374
DOI10.1016/0022-0396(73)90027-2zbMath0259.34070OpenAlexW1979832235MaRDI QIDQ2560374
Andrzej Lasota, James A. Yorke
Publication date: 1973
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(73)90027-2
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential equations in abstract spaces (34G99)
Related Items (38)
Generic flows generated by continuous vector fields in Banach spaces ⋮ The uniqueness as a generic property for some one-dimensional segmentation problems ⋮ Existence results for infinite dimensional differential equations without compactness ⋮ Periodic Solutions for a Differential Equation in Banach Space ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Periodic solutions of nonlinear impulsive differential inclusions with constraints ⋮ Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions ⋮ Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions ⋮ Nonlinear boundary value problems in Hilbert spaces ⋮ Generic Existence of a Solution for a Differential Equation in a Scale of Banach Spaces ⋮ On Peano's theorem in Banach spaces ⋮ Uniqueness and continuous dependence of the solutions for functional differential equations as a generic property ⋮ Some generic properties of functional differential equations in Banach spaces ⋮ Differential inequalities for evolution equations ⋮ The non-linear sewing lemma III: stability and generic properties ⋮ Generic properties of multifunctions: application to differential inclusions ⋮ Exotic Patterns of Synchrony in Planar Lattice Networks ⋮ Generic properties of continuous differential inclusions and the Tonelli method of approximate solutions ⋮ Solving Becker's problem on periodic solutions of parabolic evolution equations ⋮ Existence, uniqueness and approximation of fixed points as a generic property ⋮ On the nonexistence of solutions for random differential equations in banach spaces∗ ⋮ Some problems on ordinary differential equations in Banach spaces ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Existence of solutions for ordinary differential equations in Banach spaces ⋮ On existence and uniqueness for differential equations ⋮ Generic properties of functional equations ⋮ Generic well-posedness of minimization problems with mixed smooth constraints ⋮ Stability and prevalence of Mckean-Vlasov stochastic differential equations with non-Lipschitz coefficients ⋮ Most of the successive approximations do converge ⋮ Existence of solutions and Kamke's theorem for functional differential equations in Banach spaces ⋮ Some generic properties of functional-differential equations of neutral type ⋮ Wazewski's principle for retarded functional differential equations ⋮ Lineability and spaceability for the weak form of Peano’s theorem and vector-valued sequence spaces ⋮ Invariance and strict invariance for nonlinear evolution problems with applications ⋮ Topological properties of the solution set of a class of nonlinear evolutions inclusions ⋮ Kneser type theorems for ordinary differential equations in Banach spaces ⋮ On a characterization of reflexive Banach spaces ⋮ Well-posedness results for abstract generalized differential equations and measure functional differential equations
Cites Work
- Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
- Punti uniti in trasformazioni a codominio non compatto
- Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
- The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
- On the Fundamental Theory of Differential Equations
- On Hyperbolic Partial Differential Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The generic property of existence of solutions of differential equations in Banach space