Existence and uniqueness of positive mild solutions for nonlocal evolution equations
DOI10.1007/s11117-015-0336-6zbMath1347.34097OpenAlexW2006530948MaRDI QIDQ891943
Pengyu Chen, Xuping Zhang, Yongxiang Li
Publication date: 18 November 2015
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-015-0336-6
spectral radiusexistence and uniquenessnonlocal initial conditionabstract evolution equationpositive \(C_0\)-semigroup
One-parameter semigroups and linear evolution equations (47D06) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
- Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach spaces
- A note on the fractional Cauchy problems with nonlocal initial conditions
- Monotone iterative technique for differential equations in a Banach space
- Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions
- A monotone iterative technique for stationary and time dependent problems in Banach spaces
- Monotone iterative technique for addressing impulsive integro-differential equations in Banach spaces
- Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
- The existence and attractivity of time periodic solutions for evolution equations with delays
- Existence of classical solutions to nonautonomous nonlocal parabolic problems
- Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- On the stabilizability problem in Banach space
- Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- On a mild solution of a semilinear functional-differential evolution nonlocal problem
- Nonlocal Cauchy problems for semilinear evolution equations
- Semilinear integrodifferential equations with nonlocal initial conditions
- Existence of solutions for neutral functional differential evolution equations with nonlocal conditions.
- Nonlocal Cauchy problems governed by compact operator families
- Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
- Monotone method for first-order functional differential equations
- Discovering Evolution Equations with Applications
- Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
This page was built for publication: Existence and uniqueness of positive mild solutions for nonlocal evolution equations