Slope restrictions and monotonicity in nonlinear systems: almost linear behavior
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The problems of absolute stability and existence of forced oscillations for systems with sector restricted nonlinearities are considered. An overview of the results for systems described by ordinary differential equations with constant and periodic ...
Vladimir Rasvan
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Nonlinear boundary value conditions and ordinary differential systems with impulsive effects
Boundary Value Problems, 2017 We investigate solutions to nonlinear operator equations which are difficult to investigate with variational methods and obtain some abstract existence results by topology degree methods.
Tingting Hu
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Automated Linearization of a System of Nonlinear Ordinary Differential Equations
International Journal of Electronics and Telecommunications, 2023 This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation of the original nonlinear model.
Aigerim Mazakova +4 more
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Boundary Value Problems, 2009 We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly),
Angela Gallo, Anna Maria Piccirillo
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The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations
Abstract and Applied Analysis, 2014 The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations.
S. S. Motsa +3 more
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Genetic algorithm shape optimization to manipulate the nonlinear response of a clamped-clamped beam
Heliyon, 2022 Dynamical systems, which are described by differential equations, can have an enhanced response because of their nonlinearity. As one example, the Duffing oscillator can exhibit multiple stable vibratory states for some external forcing frequencies ...
Tushar Mollik +4 more
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The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions [PDF]
مجلة التربية والعلم, 2007 In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analytic method has been used to study the periodic
Raad Putrus, Ann Isaac
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Existence of a periodic solutions for certain system of nonlinear integro-differential equations [PDF]
مجلة التربية والعلم, 2008 In this paper we investigate the existence and approximation of the periodic solutions for certain systems of nonlinear integro-differential equations, by using the method of successive periodic approximation of ordinary differential equations which is ...
R. Butris
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Numerical solving of coupled systems of parabolic and ordinary differential equations
Nonlinear Analysis, 2010 Two coupled systems of parabolic and nonlinear ordinary differential equations arising in kinetics of heterogeneous reactions are studied numerically by using computer calculations. Some numerical results are discussed.
V. Skakauskas, P. Katauskis
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On Exact Controllability of First-Order Impulsive Differential Equations
Advances in Difference Equations, 2010 Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations.
Juan J. Nieto, Christopher C. Tisdell
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