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### Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian

Annales Polonici Mathematici

By using the topological degree theory and some analytic methods, we consider the periodic boundary value problem for the singular dissipative dynamical systems with p-Laplacian: ${\left({\varphi }_{p}\left({x}^{\text{'}}\right)\right)}^{\text{'}}+d/dtgradF\left(x\right)+gradG\left(x\right)=e\left(t\right)$, x(0) = x(T), x’(0) = x’(T). Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces d/dt gradF(x).

### The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian

Annales Polonici Mathematici

We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: $-{\left({\varphi }_{p}\left({x}^{\text{'}}\right)\right)}^{\text{'}}+d/dtgradF\left(x\right)+g\left(t,x\left(t\right),x\left(\delta \left(t\right)\right)$, x’(t), x’(τ(t))) = 0, t ∈ [0,1]; $x\left(t\right)=\underline{\phi }\left(t\right),$ t ≤ 0; $x\left(t\right)=\overline{\phi }\left(t\right)$, t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).

### Randomized goodness of fit tests

Kybernetika

Classical goodness of fit tests are no longer asymptotically distributional free if parameters are estimated. For a parametric model and the maximum likelihood estimator the empirical processes with estimated parameters is asymptotically transformed into a time transformed Brownian bridge by adding an independent Gaussian process that is suitably constructed. This randomization makes the classical tests distributional free. The power under local alternatives is investigated. Computer simulations...

### Dynamical behavior of Volterra model with mutual interference concerning IPM

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...

### Necessary and sufficient conditions for oscillations of delay partial difference equations.

Collectanea Mathematica

In this paper we study two classes of delay partial difference equations with constant coefficients. Explicit necessary and sufficient conditions for the oscillation of the solutions of these equations are obtained.

### Dynamical behavior of Volterra model with mutual interference concerning IPM

ESAIM: Mathematical Modelling and Numerical Analysis

A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...

### ${A}_{r}\left(\lambda \right)$-weighted Caccioppoli-type and Poincaré-type inequalities for $A$-harmonic tensors.

International Journal of Mathematics and Mathematical Sciences

### ${A}_{r}\left(\lambda \right)$-weighted Caccioppoli-type and Poincaré-type inequalities for $A$-harmonic tensors. Erratum.

International Journal of Mathematics and Mathematical Sciences

### Some estimates of integrals with a composition operator.

Journal of Inequalities and Applications [electronic only]

### Whitney covers and quasi-isometry of ${L}^{s}\left(\mu \right)$-averaging domains.

Journal of Inequalities and Applications [electronic only]

### Global integrability of the Jacobian of a composite mapping.

Journal of Inequalities and Applications [electronic only]

### Dynamics of a stage structure pest control model with impulsive effects at different fixed time.

Discrete Dynamics in Nature and Society

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