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

zbMATH Keywords

spectral radiusexistence and uniquenessnonlocal initial conditionabstract evolution equationpositive \(C_0\)-semigroup

Mathematics Subject Classification ID

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)

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval ⋮ Existence of positive mild solutions for a class of fractional evolution equations on the half line ⋮ Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval ⋮ A study on asymptotically periodic behavior for evolution equations with delay in Banach spaces ⋮ A study on non-autonomous second order evolution equations with nonlocal conditions ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line ⋮ Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions ⋮ Positive mild solutions for damped elastic systems with delay and nonlocal conditions in ordered Banach space

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