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Periodic solutions of a class of non-autonomous discontinuous second-order differential equations

Periodic solutions of a class of non-autonomous discontinuous second-order differential equations

C.E.L. da Silva, A. Jacquemard, M.A. Teixeira

ARTIGO

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We consider the second-order discontinuous differential equation y″ + η sgn(y) = 𝜃y + α sin(βt) where the parameters η, 𝜃, α, and β are real. The main goal is to discuss the existence of periodic solutions. Under explicit conditions, the number of such solutions is given. Furthermore, for each of... Ver mais

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Sistemas dinâmicos
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Periodic solutions of a class of non-autonomous discontinuous second-order differential equations

C.E.L. da Silva, A. Jacquemard, M.A. Teixeira 

										

											
											
										

									

									

										

											

												
Periodic solutions of a class of non-autonomous discontinuous second-order differential equations

											

												

														

		

							

					C.E.L. da Silva, A. Jacquemard, M.A. Teixeira
				

		

	


												

										

										
    
										
    
											
										
    
									
    
								
    
							
    
						
    
					
    
				
    
			
    
		
    
	
    
	

    

	

		
    
			
    
				
    
					
    
								
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Journal of dynamical and control systems (Fonte avulsa)