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Volume 16, Number 1, 2016 ISSN 1562-8353

NONLINEAR DYNAMICS AND NONLINEAR D An International Journal of Research and Surveys Nonlinear Dynamics Volume 16 Number 1 2016

CONTENTS YNAMICS & SYSTEMS THEOR and

Integral Estimates of Solutions to Nonlinear Systems and Their Applications ...... 1 A.A. Martynyuk, D.Ya. Khusainov and V.A. Chernienko On Exponential Domination of Some Graphs ...... 12 A. Aytac and B. Atay An International Journal of Research and Surveys Investigation in the Technique of Adaptive Predictive Control Fed by a Hybrid Inverter Applied to a Permanent Magnetic Synchronous Machine ...... 20 I. Bentchikou, F. Boudjema, D. Boukhetala, EDITOR-IN-CHIEF A.A.MARTYNYUK A. Tlemcani and N. Ould Cherchali Y S.P.Timoshenko Institute of Mechanics Approximate Controllability of Nonlinear Fractional Impulsive National Academy of of Ukraine, Kiev, Ukraine Differential Equations with Nonlocal Conditions and Infinite Delay ...... 35 A. Boudaoui and A. Slama REGIONAL EDITORS Weak Singular Solution of Six Coupled Nonlinear ODEs ...... 49 P.BORNE, Lille, France B.S. Desale and K.D. Patil M.FABRIZIO, Bologna, Italy On Tractable Functionals in Antagonistic Games with a Constant Europe Initial Condition ...... 59 M.BOHNER, Rolla, USA

J.H. Dshalalow, W. Huang, H.-J. Ke and A. Treerattrakoon V

olume North America Existence of Solutions to a New Class of Abstract Non-Instantaneous Impulsive Fractional Integro-Differential Equations ...... 73 T.A.BURTON, Port Angeles, USA

Pradeep Kumar, Rajib Haloi, D. Bahuguna and D.N. Pandey 1 C.CRUZ-HERNANDEZ, Ensenada, Mexico 6, No. A Predator-Prey with Herd Behaviour and Strong Allee Effect ...... 86 USA, Central and South America Alakes Maiti, Prosenjit Sen, Debasis Manna and G.P. Samanta AI-GUO WU, Harbin, China

Multivalued Homogeneous Neumann Problem Involving Diffuse 1 China and South East Asia Measure Data and Variable Exponent ...... 102 , 20 S. Ouaro A. Ouedraogo and S. Soma K.L.TEO, Perth, Australia 1

6 Australia and New Zealand

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