Titlebook: New Trends in the Applications of Differential Equations in Sciences; NTADES 2022, Sozopol Angela Slavova Conference proceedings 2023 The E

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蔓藤图饰

Special Functions and Polynomials Connected to the Simple Equations Method (SEsM)cs: (i) Specific special function (called .-function) which occurs when the solved nonlinear differential equation possesses polynomial nonlinearities; (ii) Two sets of polynomials which occur for the case when the differential equation which is used as a simple equation in the methodology has speci

Synchronism

Finite Time Blow Up of the Solutions to Nonlinear Wave Equations with Sign-Changing Nonlinearitiestigate the non-existence of global solutions for different energy levels. When the energy is supercritical, we give a new sufficient condition on the initial data, which guarantees finite time blow up of the corresponding solution.

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ellagic-acid

anaphylaxis

Green’s Function and Wave Scattering in Inhomogeneous Anti-plane PEM Half-Plane and without taking into consideration the surface elasticity properties are derived analytically. The surface elasticity model is considered in the frame of Gurtin and Murdoch (Arch. Ration Mach Anal 57:291–323, 1975). Anti-plane stress–strain state holds. The mechanical model considers materials w

飞行员

Exact Traveling Wave Solutions of the Generalized Rosenau–Kawahara-RLW Equation via Simple Equationseralized Rosenau–Kawahara-RLW equation. The elliptic equation of Jacobi and the elliptic equation of Weierstrass are used as simple equations. Various exact solutions of the studied equation are obtained. These solutions are expressed by a special function ., which takes various forms depending on t

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Several Properties of the Solutions of Linear and Semilinear Harmonic and Polyharmonic Equationsemilinear polyharmonic equation and for the existence of weak solutions to the Dirichlet problem for Liouville equation with power type singularity .. By using variants of Harnack inequality for some classes of second-order elliptic PDEs (say of Cordes type), quantitative Hopf’s principle is verifie

Hangar

Parabolic Equations with Causal Operatorsand . is Hölder in . and ., continuous in ., Lipschitz in ., and monotone increasing in .. We state that under the above-mentioned conditions and assuming in addition that . contains a locally Lipschitz summand, then the solution can be qualitatively estimated. Moreover, this solution blows up in so

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