Nonlinear First-order Periodic Boundary Value Research Articles

Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales

By using the classical fixed point theorem for operators on a cone, in this paper, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained.

Positive solutions to nonlinear first-order impulsive dynamic equations on time scales

By using the classical fixed point theorem for operators on a cone, in this paper, some results of single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. It is worth noticing that the nonlinearity f and the pulse function in this paper are not positive.

Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales

By using the classical fixed point theorem for operators on cone, in this article, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. Two examples are given to illustrate the main results in this article.Mathematics Subject Classification: 39A10; 34B15.

Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales

We investigate the following nonlinear first-order periodic boundary value problem on time scales: , , . Some new existence criteria of positive solutions are established by using the monotone iterative technique.

Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter

By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are obtained. An example is given to illustrate the main results in this paper.

Positive solutions for nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales

In this paper, existence criteria of positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. The main tool used in this paper is the well-known Guo–Krasnoselskii fixed-point theorem.

Positive solutions to nonlinear first-order PBVPs with parameter on time scales

In this paper we consider the following nonlinear first-order periodic boundary value problem with parameter on a time scale T { x Δ ( t ) + p ( t ) x ( σ ( t ) ) = λ f ( x ( t ) ) , t ∈ [ 0 , T ] T , x ( 0 ) = x ( σ ( T ) ) , where λ > 0 is a parameter. For suitable λ > 0 , some existence, multiplicity and nonexistence criteria of positive solutions are established by using well-known results from the fixed-point index.

Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales

In this paper, we consider the following nonlinear first-order periodic boundary value problems on time scales { x Δ ( t ) + p ( t ) x ( σ ( t ) ) = f ( x ( t ) ) , t ∈ [ 0 , T ] T , x ( 0 ) = x ( σ ( T ) ) . Some new existence and multiplicity criteria of positive solutions are established by using several well-known fixed point theorems.

Existence of solutions to nonlinear first-order PBVPs on time scales

In this paper we are concerned with the following nonlinear first-order periodic boundary value problem on time scales { x Δ ( t ) + p ( t ) x ( σ ( t ) ) = g ( t , x ( σ ( t ) ) ) , t ∈ [ 0 , T ] T , x ( 0 ) = x ( σ ( T ) ) . Some new existence criteria of at least one solution are established by using novel inequalities and the well-known Schaefer fixed point theorem.

Monotone techniques for first order boundary value problem

In this paper, we discuss the application of monotone iterative techniques and upper-lower solution schemes to the nonlinear first-order periodic boundary value problem in a real Banach space. Monotone sequences are constructed which converge to extremal solutions of *.