Existence of solution for non-autonomous semilinear measure driven equations

Non-existence and uniqueness results for supercritical semilinear elliptic equations

Non-existence and uniqueness results are proved for several local and non-local supercritical bifurcation problems involving a semilinear elliptic equation depending on a parameter. The domain is star-shaped and such that a Poincaré inequality holds but no other symmetry assumption is required. Uniqueness holds when the bifurcation parameter is in a certain range. Our approach can be seen, in s...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Matematica – Existence for semilinear parabolic stochastic equations

Abstract The boundary value problem for semilinear parabolic stochastic equations of the form dX − ∆X dt + β(X)dt 3 QdWt, where Wt is a Wiener process and β is a maximal monotone graph everywhere defined, is well posed.

The Existence and Stability of Synchronizing Solution of Non-Autonomous Equations with Multiple Delays

In this paper, we consider an abstract non-autonomous evolution equation with multiple delays in a Hilbert space H: ′ 1 ( ) ( ) ( ( ), , ( )) ( ), n u t Au t F u t r u t r g t + = − ... − + where : ( ) A D A H H ⊂ → is a positive definite selfadjoint operator, : n F H H → α is a nonlinear mapping, 1 , , n r r ... are nonnegative constants, and ( ) ( ; ) g t C H ∈  is bounded. Motivated by [1] ...