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Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive sourceWe consider an abstract Cauchy problem with non-linear operator coefficients and prove
On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasmaThe initial boundary-value problem for the equation of ion-sound waves in a plasma is studied. A
Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains of elliptic equations with non-power nonlinearities.
On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite typeWe consider the Cauchy problem for a model partial differential equation of third order with non-linearity
Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive SourceAn abstract Cauchy problem for a second-order differential equation with nonlinear operator
Application of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges. P. Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability
On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges of equilibrium equations to one nonlinear differential equation with respect to deflections. In doing so integral
On the blow-up of the solution of a $(1+1)$-dimensional thermal–electrical modelnonlinear Sobolev-type equations
On the Existence of a Nonextendable Solution of the Cauchy problem for a $(1+1)$-Dimensional Thermal-Electrical Modelnonlinear equations of Sobolev type
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearitiesWe consider a series of initial- boundary value problems for the equation of ion- sound waves in a
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