caa a22 4500 606193960 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00030-015-0334-1 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0334-1 Stability tests for second order linear and nonlinear delayed models [Elektronische Daten] [Leonid Berezansky, Elena Braverman, Lev Idels] For the nonlinear second order Lienard-type equations with time-varying delays $$\ddot{x}(t)+\sum_{k=1}^m f_k(t,x(t),\dot{x}(g_k(t)))+\sum_{k=1}^ls_k(t,x(h_k(t)))=0,$$ x ¨ ( t ) + ∑ k = 1 m f k ( t , x ( t ) , x ˙ ( g k ( t ) ) ) + ∑ k = 1 l s k ( t , x ( h k ( t ) ) ) = 0 , global asymptotic stability conditions are obtained. The results are based on the new sufficient stability conditions for relevant linear equations and are applied to derive explicit stability conditions for the nonlinear Kaldor-Kalecki business cycle model. We also explore multistability of the sunflower non-autonomous equation and its modifications. Springer Basel, 2015 Second order delay differential equations nationallicence Global asymptotic stability nationallicence Boundedness of solutions nationallicence Lienard-type nonautonomous linear and nonlinear delay differential equations nationallicence Sunflower equation nationallicence The Kaldor-Kalecki business cycle model nationallicence Variable delays nationallicence Berezansky Leonid Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer Sheva, Israel aut Braverman Elena Department of Mathematics and Statistics, University of Calgary, 2500 University Dr. NW, T2N1N4, Calgary, AB, Canada aut Idels Lev Department of Mathematics, Vancouver Island University, 900 Fifth St., V9S5J5, Nanaimo, BC, Canada aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1523-1543 1021-9722 22:6<1523 2015 22 30 https://doi.org/10.1007/s00030-015-0334-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0334-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Berezansky Leonid Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer Sheva, Israel aut NATIONALLICENCE 700 1- Braverman Elena Department of Mathematics and Statistics, University of Calgary, 2500 University Dr. NW, T2N1N4, Calgary, AB, Canada aut NATIONALLICENCE 700 1- Idels Lev Department of Mathematics, Vancouver Island University, 900 Fifth St., V9S5J5, Nanaimo, BC, Canada aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1523-1543 1021-9722 22:6<1523 2015 22 30