Displaying similar documents to “Impulsive periodic boundary value problem”

Second order nonlinear differential equations with linear impulse and periodic boundary conditions

Aydin Huseynov (2011)

Applications of Mathematics

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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.

An existence and multiplicity result for a periodic boundary value problem

Boris Rudolf (2008)

Mathematica Bohemica

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A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.

Periodic BVP with φ -Laplacian and impulses

Vladimír Polášek (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The paper deals with the impulsive boundary value problem d d t [ φ ( y ' ( t ) ) ] = f ( t , y ( t ) , y ' ( t ) ) , y ( 0 ) = y ( T ) , y ' ( 0 ) = y ' ( T ) , y ( t i + ) = J i ( y ( t i ) ) , y ' ( t i + ) = M i ( y ' ( t i ) ) , i = 1 , ... m . The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions.