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De Sitter vacua in ghost-free massive gravity theory Sitter solution in the ghost-free massive gravity theory via applying the Gordon ansatz

The third boundary value problem for parabolic differential-difference equation in one-dimensional case on existence and uniqueness of weak solutions and strong solutions as well as the smoothness of strong

The First Boundary Value Problem for Quasilinear Parabolic Differential-Difference Equations–difference equations. The uniqueness and existence of generalized solutions are proved. The proofs are based

String solutions in the S2 nonlinear σ-model with a gauge field. By using a direct variational method we demonstrate the existence of string-like solutions in this model

Bounded Solutions of Semilinear Time Delay Hyperbolic Differential and Difference Equations with unbounded time delay term is established. In applications, the existence and uniqueness of bounded solutions

Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient the uniqueness criterion and prove the solution existence and stability theorems. The solution of the problem

Existence of a solution and variational principles for vector equilibrium problemsIn this paper, we prove an existence result for a solution to the vector equilibrium problems. Then

Nonminimal isotropic cosmological model with yang-mills and higgs fields to cosmology. We show that there exists a unique exact cosmological solution of the de Sitter type for a

The uniqueness theorems in the electromagnetic wave theory and quasi-periodical solutions of the periodical diffraction problemsThe simple method to prove the uniqueness of the solution of the electromagnetic wave diffraction

Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval prove existence and uniqueness of global weak and regular solutions. Also we show the exponential decay

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