Semi-nonoscillation intervals in the analysis of sign constancy of Green's functions of Dirichlet, Neumann and focal impulsive problems

DOI10.1186/s13662-017-1134-1zbMath1422.34229OpenAlexW2603571783WikidataQ59518738 ScholiaQ59518738MaRDI QIDQ1628631

Guy Landsman, Alexander I. Domoshnitsky

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1134-1

zbMATH Keywords

Green's functionsboundary value problemimpulsive equationssecond orderpositivity/negativity of Green's functions

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Oscillation theory of functional-differential equations (34K11) Boundary value problems for functional-differential equations (34K10)

Related Items

Some two-point problems for second order integro-differential equations with argument deviations, Unnamed Item, Seminonoscillation intervals and sign-constancy of Green's functions of two-point impulsive boundary-value problems, Sign-constancy of Green's functions for impulsive nonlocal boundary value problems

Cites Work

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• Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions
• Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions
• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• Positive solutions for second order impulsive differential equations with integral boundary conditions
• Differential systems involving impulses
• Positive solutions to second order four-point boundary value problems for impulsive differential equations
• Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations
• Nonoscillation of first order impulse differential equations with delay
• Nonoscillation for a second order linear delay differential equation with impulses
• Sturmian comparison theory for impulsive differential inequalities and equations
• A new approach to BVPs with state-dependent impulses
• Positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• About differential inequalities for nonlocal boundary value problems with impulsive delay equations
• About sign-constancy of Green’s functions for impulsive second order delay equations
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• Multiple nonnegative solutions for second order impulsive differential equations.