04022nam 22010453a 450 991036775330332120250203235430.09783039215393303921539610.3390/books978-3-03921-539-3(CKB)4100000010106184(oapen)https://directory.doabooks.org/handle/20.500.12854/54624(ScCtBLL)8b3d6f48-1095-488a-b08a-c058f09f2496(OCoLC)1163832903(oapen)doab54624(EXLCZ)99410000001010618420250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierNew Trends in Differential and Difference Equations and ApplicationsJoão Fialho, Feliz Manuel MinhósMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (198 p.)9783039215386 3039215388 This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.heteroclinic solutionsnon-instantaneous impulsesSchauder’s fixed point theorydichotomysecond-order differential/difference/q-difference equation of hypergeometric typedifferential equationsa priori estimatesglobal solutionsgeneralized Liouville equationHilbert spacedissipationcollocation methodexponential dichotomySumudu decomposition methodthree-step Taylor methoddynamical systemlower and upper solutionsproblems in the real lineNagumo condition on the real lineSIRS epidemic modelfirst order periodic systemsregular solutionsClairin’s methodcoupled nonlinear systemsNavier–Stokes equationsBäcklund transformationasymptotic stabilityCaputo fractional derivativeexponential stabilitydifference equationslipschitz stabilitystrong nonlinearitiespolynomial solutionintegro-differentialskinetic energyLegendre waveletsweak solutionsdiscrete Lyapunov equationpopulation dynamicsnon-uniform latticesKorteweg-de Vries equationtime-dependent partial differential equationsmean curvature operatorfunctional boundary conditionsmathematical modellingfixed point theorylimit-periodic solutionsArzèla Ascoli theoremMiura transformationstate dependent delays?-Laplacian operatordivided-difference equationseffective existence criteriaFialho João1787305Minhós Feliz ManuelScCtBLLScCtBLLBOOK9910367753303321New Trends in Differential and Difference Equations and Applications4320515UNINA