## Displaying similar documents to “Integral equations of the first kind of Sonine type.”

### Exponential stability of two coupled second-order evolution equations.

Advances in Difference Equations [electronic only]

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### Existence of solutions for a class of second-order $p$-Laplacian systems with impulsive effects

Applications of Mathematics

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The purpose of this paper is to study the existence and multiplicity of a periodic solution for the non-autonomous second-order system $\begin{array}{c}\frac{\mathrm{d}}{\mathrm{d}t}\left(|\stackrel{˙}{u}\left(t\right){|}^{p-2}\stackrel{˙}{u}\left(t\right)\right)=\nabla F\left(t,u\left(t\right)\right),\phantom{\rule{1.0em}{0ex}}\text{a.e.}\phantom{\rule{4pt}{0ex}}t\in \left[0,T\right],\\ u\left(0\right)-u\left(T\right)=\stackrel{˙}{u}\left(0\right)-\stackrel{˙}{u}\left(T\right)=0,\\ \Delta {\stackrel{˙}{u}}^{i}\left({t}_{j}\right)={\stackrel{˙}{u}}^{i}\left({t}_{j}^{+}\right)-{\stackrel{˙}{u}}^{i}\left({t}_{j}^{-}\right)={I}_{ij}\left({u}^{i}\left({t}_{j}\right)\right),\phantom{\rule{4pt}{0ex}}i=1,2,\cdots ,N;\phantom{\rule{4pt}{0ex}}j=1,2,\cdots ,m.\end{array}$ By using the least action principle and the saddle point theorem, some new existence theorems are obtained for second-order $p$-Laplacian systems with or without impulse under weak sublinear growth conditions, improving some existing results in the literature.

### Singular Dirichlet boundary value problems. II: Resonance case

Czechoslovak Mathematical Journal

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Existence results are established for the resonant problem ${y}^{\text{'}\text{'}}+{\lambda }_{m}\phantom{\rule{0.166667em}{0ex}}a\phantom{\rule{0.166667em}{0ex}}y=f\left(t,y\right)$ a.e. on $\left[0,1\right]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a\in {L}_{\mathrm{l}oc}^{1}\left(0,1\right)$ with $a>0$ a.e. on $\left[0,1\right]$ and ${\int }_{0}^{1}x\left(1-x\right)a\left(x\right)\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x<\infty$.

### Criteria for disfocality and disconjugacy for third order differential equations.

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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### The extension of Montgomery identity via Fink identity with applications.

Journal of Inequalities and Applications [electronic only]

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### A sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral and applications.

Journal of Inequalities and Applications [electronic only]

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### On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations.

Boundary Value Problems [electronic only]

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