On Nonresonance Problems of Second-Order Difference Systems

On Nonresonance Problems of Second-Order Difference Systems

Let T be an integer with T ≥ 3, and let T : {1, . . . , T}. We study the existence and uniqueness of solutions for the following two-point boundary value problems of second-order difference systems: Δu t − 1 f t, u t e t , t ∈ T, u 0 u T 1 0, where e : T → R and f : T × R → R is a potential function satisfying f t, · ∈ C1 R and some nonresonance conditions. The proof of the main result is based...

Some Nonlinear Fourth-Order Boundary Value Problems at Nonresonance

This work is devoted to study the existence and the regularity of solutions of two nonlinear problems of fourth order governed by p-biharmonic operators in nonresonance cases. In the first problem we establish the nonresonance part of the Fredholm alternative. In the second problem, nonresonance relative to the first eigenvalue is considered for p = 2 at the case where the nonresonance is betwe...

Positive Solutions of Second Order Nonlinear Difference Boundary Value Problems

We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions is also derived. Several examples are given to demonstrate the applications. Our results improve...

Resonance and Nonresonance Periodic Value Problems of First-Order Differential Systems

An Emotion Recognition Approach based on Wavelet Transform and Second-Order Difference Plot of ECG

Emotion, as a psychophysiological state, plays an important role in human communications and daily life. Emotion studies related to the physiological signals are recently the subject of many researches. In This study a hybrid feature based approach was proposed to examine affective states. To this effect, Electrocardiogram (ECG) signals of 47 students were recorded using pictorial emotion elici...