Traveling wave solutions in delayed nonlocal diffusion systems with mixed monotonicity

AbstractThis paper deals with the existence of traveling wave solutions in delayed nonlocal diffusion systems with mixed monotonicity. Based on two different mixed-quasimonotonicity reaction terms, we propose new definitions of upper and lower solutions. By using Schauder's fixed point theorem and a new cross-iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The general results obtained have been applied to type-K monotone and type-K competitive nonlocal diffusive Lotka–Volterra systems

State Ownership and Banks Information Rents: Evidence from China

In a lending relationship, a bank with an information advantage regarding its client tends to hold up the borrower and charge higher interest rates. We conjecture that state-owned enterprises (SOEs), with worse information asymmetry, are subject to greater informationrents. State-owned banks place less emphasis on information production and hence extract lower rents compared to profit maximizing private banks. We use the decline of loan interest rates around the borrowers’ equity initial public offerings (IPOs) as the proxy of banks’ information rents. We find SOEs in China experiencelarger declines in loan interest rates around their IPOs; the central government-controlled Big Four banks exhibit smaller declines in rates they charge, and their rate declines concentrate on loans made to SOEs

Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales

This paper is concerned with oscillation of second-order forced functional dynamic equations of the form (r(t)(xΔ(t))γ)Δ+∑i=0n‍qi(t)|x(δi(t))|αisgn  x(δi(t))=e(t) on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria

(E)-3-(1-Phenyl­ethyl­idene)indolin-2-one

In the title mol­ecule, C16H13NO, the indoline-2-one ring system is nearly planar [maximum atomic deviation = 0.082 (2) Å] and is oriented at a dihedral angle of 66.60 (12)° with respect to the phenyl ring. In the crystal, inter­molecular N—H⋯O hydrogen bonds link the mol­ecules into supra­molecular dimers

Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales

This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form (p(t)k1(x(t),xΔ(t)))Δ+r(t)k2(x(t),xΔ(t))xΔ(t)+f(t,x(σ(t)))=0. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented

Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales

Using functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the results

Qualitative Theory of Differential Equations, Difference Equations, and Dynamic Equations on Time Scales

This issue on qualitative analysis on differential, fractional differential, and dynamic equations and related topics aims at an all-around research and the state-of-the-art theoretical, numerical, and practical achievements that contribute to this field

Surgical Incision Induces Anxiety-Like Behavior and Amygdala Sensitization: Effects of Morphine and Gabapentin

The role of affective dimension in the postoperative pain is still poorly understood. The present study investigated the development of anxiety-like behavior and amygdala sensitization in incisional pain. Using hind-paw incision model in rats, we showed that surgical incision induced the anxiety-like behavior as determined by elevated plus-maze and open-field tests. Intraperitoneal (IP) morphine administration reversed mechanical allodynia and anxiety-like behavior in a dose-dependent manner. Gabapentin also partially reduced incision-evoked mechanical allodynia and anxiety-like behavior in a dose-dependent manner. After incision, the expression of phosphorylated cAMP response elements (CRE-) binding protein (p-CREB) was transiently upregulated in the central and basolateral nuclei in the bilateral amygdala. The upregulation of p-CREB was inhibited by morphine and gabapentin. The present study suggested that surgical incision could induce anxiety and amygdala sensitization that can be inhibited by morphine and gabapentin. Thus treatment of surgery-induced affective disturbances by morphine and gabapentin may be a potential important adjunct therapy in the postoperative pain management