Results 21 to 30 of about 268,103 (267)
A class of fourth-order parabolic equation with logarithmic nonlinearity
Journal of Inequalities and Applications, 2018 In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up
Pingping Li, Changchun Liu
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Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
Mathematics, 2022 The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined.
Oleg Avsyankin
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Class of solutions of the Wheeler-DeWitt equation with ordering parameter
Physics Letters B, 2020 In this letter, we discuss the Wheeler-DeWitt equation with an ordering parameter in the Friedmann-Robertson-Walker universe. The solutions when the universe was very small and at the end of the expansion are obtained in terms of Bessel and Heun ...
H.S. Vieira +4 more
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Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction [PDF]
Open Communications in Nonlinear Mathematical PhysicsA novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exact solution of Airy-type to a class of moving boundary problems of Stefan ...
Colin Rogers, Adriana C. Briozzo
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Criteria for Oscillation of Half-Linear Functional Differential Equations of Second-Order
Axioms, 2022 The present article aims to establish more effective criteria for testing the oscillation of a class of functional differential equations with delay arguments.
Barakah Almarri, Osama Moaaz, Ali Muhib
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On a Class of Solvable Difference Equations [PDF]
Abstract and Applied Analysis, 2013 A class of difference equations which can be solved in closed form is presented in this paper. Obtained formulas for the solutions are used in the study of the asymptotic behavior of their solutions in a particular case.
Stevo Stević +3 more
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On differential equations invariant under a projective transformation group: integrability and reductions [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in ...
Marianna Euler +2 more
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On a Class of Sobolev-Type Equations
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2014 The article surveys the works of T.G. Sukacheva and her students studying the models of incompressible viscoelastic Kelvin Voigt uids in the framework of the theory of semilinear Sobolev-type equations. We focus on the unstable case because of greater generality. The idea is illustrated by an example: the non-stationary thermoconvection problem for the
Sukacheva, T., Kondyukov, A.
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An existence result for a semipositone problem with a sign changing weight
Abstract and Applied Analysis, 2006 We establish an existence result on positive solution for a class of reaction-diffusion equation with semipositone structure. In particular, our results apply to the diffusive logistic equation with a class of sign changing weight and constant yield ...
Jaffar Ali, R. Shivaji
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A Class of Soluble Diophantine Equations [PDF]
Proceedings of the National Academy of Sciences, 1951 Let R be a commutative ring with a unit element, F(x) a homogeneous polynomial of degree n in t indeterminates x1, x2, ..., xt with coefficients in R. Let I denote the subring of the coefficients of F(x) in R; that is, the smallest ring containing all of them.
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